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Finding the Fourth Proportional to 2,472.71, 3,413.09 and 1,425.47

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Solution

The fourth proportional to 2,472.71, 3,413.09 and 1,425.47 is: 1,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.71 : 3,413.09 = 1,425.47 : x
  2. Step 2: Convert to fraction form
    2,472.71/3,413.09 = 1,425.47/x
  3. Step 3: Cross multiply
    2,472.71x = 3,413.09 × 1,425.47
  4. Step 4: Simplify right side
    2,472.71x = 4,865,257.40
  5. Step 5: Solve for x
    x = 4,865,257.40/2,472.71
  6. Step 6: Final answer
    x = 1,967.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.