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Finding the Fourth Proportional to 2,473.76, 3,413.79 and 1,354.70

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Solution

The fourth proportional to 2,473.76, 3,413.79 and 1,354.70 is: 1,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.76 : 3,413.79 = 1,354.70 : x
  2. Step 2: Convert to fraction form
    2,473.76/3,413.79 = 1,354.70/x
  3. Step 3: Cross multiply
    2,473.76x = 3,413.79 × 1,354.70
  4. Step 4: Simplify right side
    2,473.76x = 4,624,637.47
  5. Step 5: Solve for x
    x = 4,624,637.47/2,473.76
  6. Step 6: Final answer
    x = 1,869.48

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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.