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Finding the Fourth Proportional to 2,064.97, 3,097.50 and 525.97

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Solution

The fourth proportional to 2,064.97, 3,097.50 and 525.97 is: 788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.97 : 3,097.50 = 525.97 : x
  2. Step 2: Convert to fraction form
    2,064.97/3,097.50 = 525.97/x
  3. Step 3: Cross multiply
    2,064.97x = 3,097.50 × 525.97
  4. Step 4: Simplify right side
    2,064.97x = 1,629,192.08
  5. Step 5: Solve for x
    x = 1,629,192.08/2,064.97
  6. Step 6: Final answer
    x = 788.97

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.