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Finding the Fourth Proportional to 1,747.15, 2,618.28 and 967.51

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Solution

The fourth proportional to 1,747.15, 2,618.28 and 967.51 is: 1,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.15 : 2,618.28 = 967.51 : x
  2. Step 2: Convert to fraction form
    1,747.15/2,618.28 = 967.51/x
  3. Step 3: Cross multiply
    1,747.15x = 2,618.28 × 967.51
  4. Step 4: Simplify right side
    1,747.15x = 2,533,212.08
  5. Step 5: Solve for x
    x = 2,533,212.08/1,747.15
  6. Step 6: Final answer
    x = 1,449.91

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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.