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Finding the Fourth Proportional to 2,473.71, 3,710.58 and 1,011.84

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Solution

The fourth proportional to 2,473.71, 3,710.58 and 1,011.84 is: 1,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.71 : 3,710.58 = 1,011.84 : x
  2. Step 2: Convert to fraction form
    2,473.71/3,710.58 = 1,011.84/x
  3. Step 3: Cross multiply
    2,473.71x = 3,710.58 × 1,011.84
  4. Step 4: Simplify right side
    2,473.71x = 3,754,513.27
  5. Step 5: Solve for x
    x = 3,754,513.27/2,473.71
  6. Step 6: Final answer
    x = 1,517.77

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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.