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Finding the Fourth Proportional to 1,727.46, 2,591.52 and 557.78

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Solution

The fourth proportional to 1,727.46, 2,591.52 and 557.78 is: 836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.46 : 2,591.52 = 557.78 : x
  2. Step 2: Convert to fraction form
    1,727.46/2,591.52 = 557.78/x
  3. Step 3: Cross multiply
    1,727.46x = 2,591.52 × 557.78
  4. Step 4: Simplify right side
    1,727.46x = 1,445,485.07
  5. Step 5: Solve for x
    x = 1,445,485.07/1,727.46
  6. Step 6: Final answer
    x = 836.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.