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Finding the Fourth Proportional to 2,289.32, 3,433.95 and 557.96

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Solution

The fourth proportional to 2,289.32, 3,433.95 and 557.96 is: 836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.32 : 3,433.95 = 557.96 : x
  2. Step 2: Convert to fraction form
    2,289.32/3,433.95 = 557.96/x
  3. Step 3: Cross multiply
    2,289.32x = 3,433.95 × 557.96
  4. Step 4: Simplify right side
    2,289.32x = 1,916,006.74
  5. Step 5: Solve for x
    x = 1,916,006.74/2,289.32
  6. Step 6: Final answer
    x = 836.93

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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.