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Finding the Fourth Proportional to 2,473.49, 3,413.41 and 1,354.46

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Solution

The fourth proportional to 2,473.49, 3,413.41 and 1,354.46 is: 1,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.49 : 3,413.41 = 1,354.46 : x
  2. Step 2: Convert to fraction form
    2,473.49/3,413.41 = 1,354.46/x
  3. Step 3: Cross multiply
    2,473.49x = 3,413.41 × 1,354.46
  4. Step 4: Simplify right side
    2,473.49x = 4,623,306.86
  5. Step 5: Solve for x
    x = 4,623,306.86/2,473.49
  6. Step 6: Final answer
    x = 1,869.14

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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.