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Finding the Fourth Proportional to 2,049.14, 3,073.75 and 588.31

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Solution

The fourth proportional to 2,049.14, 3,073.75 and 588.31 is: 882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.14 : 3,073.75 = 588.31 : x
  2. Step 2: Convert to fraction form
    2,049.14/3,073.75 = 588.31/x
  3. Step 3: Cross multiply
    2,049.14x = 3,073.75 × 588.31
  4. Step 4: Simplify right side
    2,049.14x = 1,808,308.71
  5. Step 5: Solve for x
    x = 1,808,308.71/2,049.14
  6. Step 6: Final answer
    x = 882.47

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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.