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Finding the Fourth Proportional to 2,502.95, 3,754.14 and 654.25

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Solution

The fourth proportional to 2,502.95, 3,754.14 and 654.25 is: 981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.95 : 3,754.14 = 654.25 : x
  2. Step 2: Convert to fraction form
    2,502.95/3,754.14 = 654.25/x
  3. Step 3: Cross multiply
    2,502.95x = 3,754.14 × 654.25
  4. Step 4: Simplify right side
    2,502.95x = 2,456,146.10
  5. Step 5: Solve for x
    x = 2,456,146.10/2,502.95
  6. Step 6: Final answer
    x = 981.30

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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.