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Finding the Fourth Proportional to 2,064.98, 3,097.44 and 678.33

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Solution

The fourth proportional to 2,064.98, 3,097.44 and 678.33 is: 1,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.98 : 3,097.44 = 678.33 : x
  2. Step 2: Convert to fraction form
    2,064.98/3,097.44 = 678.33/x
  3. Step 3: Cross multiply
    2,064.98x = 3,097.44 × 678.33
  4. Step 4: Simplify right side
    2,064.98x = 2,101,086.48
  5. Step 5: Solve for x
    x = 2,101,086.48/2,064.98
  6. Step 6: Final answer
    x = 1,017.48

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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.