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Finding the Fourth Proportional to 2,529.62, 3,498.17 and 2,413.58

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Solution

The fourth proportional to 2,529.62, 3,498.17 and 2,413.58 is: 3,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.62 : 3,498.17 = 2,413.58 : x
  2. Step 2: Convert to fraction form
    2,529.62/3,498.17 = 2,413.58/x
  3. Step 3: Cross multiply
    2,529.62x = 3,498.17 × 2,413.58
  4. Step 4: Simplify right side
    2,529.62x = 8,443,113.15
  5. Step 5: Solve for x
    x = 8,443,113.15/2,529.62
  6. Step 6: Final answer
    x = 3,337.70

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