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Finding the Fourth Proportional to 2,317.61, 3,476.98 and 757.69

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Solution

The fourth proportional to 2,317.61, 3,476.98 and 757.69 is: 1,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.61 : 3,476.98 = 757.69 : x
  2. Step 2: Convert to fraction form
    2,317.61/3,476.98 = 757.69/x
  3. Step 3: Cross multiply
    2,317.61x = 3,476.98 × 757.69
  4. Step 4: Simplify right side
    2,317.61x = 2,634,472.98
  5. Step 5: Solve for x
    x = 2,634,472.98/2,317.61
  6. Step 6: Final answer
    x = 1,136.72

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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.