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Finding the Fourth Proportional to 2,289.54, 3,434.28 and 558.15

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Solution

The fourth proportional to 2,289.54, 3,434.28 and 558.15 is: 837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.54 : 3,434.28 = 558.15 : x
  2. Step 2: Convert to fraction form
    2,289.54/3,434.28 = 558.15/x
  3. Step 3: Cross multiply
    2,289.54x = 3,434.28 × 558.15
  4. Step 4: Simplify right side
    2,289.54x = 1,916,843.38
  5. Step 5: Solve for x
    x = 1,916,843.38/2,289.54
  6. Step 6: Final answer
    x = 837.22

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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.