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Finding the Fourth Proportional to 1,727.50, 2,591.51 and 557.11

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Solution

The fourth proportional to 1,727.50, 2,591.51 and 557.11 is: 835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.50 : 2,591.51 = 557.11 : x
  2. Step 2: Convert to fraction form
    1,727.50/2,591.51 = 557.11/x
  3. Step 3: Cross multiply
    1,727.50x = 2,591.51 × 557.11
  4. Step 4: Simplify right side
    1,727.50x = 1,443,756.14
  5. Step 5: Solve for x
    x = 1,443,756.14/1,727.50
  6. Step 6: Final answer
    x = 835.75

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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.