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Finding the Fourth Proportional to 2,491.35, 3,737.07 and 1,011.27

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Solution

The fourth proportional to 2,491.35, 3,737.07 and 1,011.27 is: 1,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.35 : 3,737.07 = 1,011.27 : x
  2. Step 2: Convert to fraction form
    2,491.35/3,737.07 = 1,011.27/x
  3. Step 3: Cross multiply
    2,491.35x = 3,737.07 × 1,011.27
  4. Step 4: Simplify right side
    2,491.35x = 3,779,186.78
  5. Step 5: Solve for x
    x = 3,779,186.78/2,491.35
  6. Step 6: Final answer
    x = 1,516.92

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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.