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Finding the Fourth Proportional to 2,289.52, 3,434.27 and 558.14

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Solution

The fourth proportional to 2,289.52, 3,434.27 and 558.14 is: 837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.52 : 3,434.27 = 558.14 : x
  2. Step 2: Convert to fraction form
    2,289.52/3,434.27 = 558.14/x
  3. Step 3: Cross multiply
    2,289.52x = 3,434.27 × 558.14
  4. Step 4: Simplify right side
    2,289.52x = 1,916,807.52
  5. Step 5: Solve for x
    x = 1,916,807.52/2,289.52
  6. Step 6: Final answer
    x = 837.21

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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.