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Finding the Fourth Proportional to 2,473.71, 3,413.68 and 1,354.64

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Solution

The fourth proportional to 2,473.71, 3,413.68 and 1,354.64 is: 1,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.71 : 3,413.68 = 1,354.64 : x
  2. Step 2: Convert to fraction form
    2,473.71/3,413.68 = 1,354.64/x
  3. Step 3: Cross multiply
    2,473.71x = 3,413.68 × 1,354.64
  4. Step 4: Simplify right side
    2,473.71x = 4,624,287.02
  5. Step 5: Solve for x
    x = 4,624,287.02/2,473.71
  6. Step 6: Final answer
    x = 1,869.38

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1.5x scale

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.