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Finding the Fourth Proportional to 2,473.68, 3,710.52 and 1,086.12

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Solution

The fourth proportional to 2,473.68, 3,710.52 and 1,086.12 is: 1,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.68 : 3,710.52 = 1,086.12 : x
  2. Step 2: Convert to fraction form
    2,473.68/3,710.52 = 1,086.12/x
  3. Step 3: Cross multiply
    2,473.68x = 3,710.52 × 1,086.12
  4. Step 4: Simplify right side
    2,473.68x = 4,030,069.98
  5. Step 5: Solve for x
    x = 4,030,069.98/2,473.68
  6. Step 6: Final answer
    x = 1,629.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.