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Finding the Fourth Proportional to 2,049.12, 3,073.68 and 588.36

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Solution

The fourth proportional to 2,049.12, 3,073.68 and 588.36 is: 882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.12 : 3,073.68 = 588.36 : x
  2. Step 2: Convert to fraction form
    2,049.12/3,073.68 = 588.36/x
  3. Step 3: Cross multiply
    2,049.12x = 3,073.68 × 588.36
  4. Step 4: Simplify right side
    2,049.12x = 1,808,430.36
  5. Step 5: Solve for x
    x = 1,808,430.36/2,049.12
  6. Step 6: Final answer
    x = 882.54

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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.