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Finding the Fourth Proportional to 1,616.97, 2,425.47 and 1,040.25

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Solution

The fourth proportional to 1,616.97, 2,425.47 and 1,040.25 is: 1,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.97 : 2,425.47 = 1,040.25 : x
  2. Step 2: Convert to fraction form
    1,616.97/2,425.47 = 1,040.25/x
  3. Step 3: Cross multiply
    1,616.97x = 2,425.47 × 1,040.25
  4. Step 4: Simplify right side
    1,616.97x = 2,523,095.17
  5. Step 5: Solve for x
    x = 2,523,095.17/1,616.97
  6. Step 6: Final answer
    x = 1,560.38

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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.