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Finding the Fourth Proportional to 2,476.89, 3,715.13 and 916.83

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Solution

The fourth proportional to 2,476.89, 3,715.13 and 916.83 is: 1,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.89 : 3,715.13 = 916.83 : x
  2. Step 2: Convert to fraction form
    2,476.89/3,715.13 = 916.83/x
  3. Step 3: Cross multiply
    2,476.89x = 3,715.13 × 916.83
  4. Step 4: Simplify right side
    2,476.89x = 3,406,138.05
  5. Step 5: Solve for x
    x = 3,406,138.05/2,476.89
  6. Step 6: Final answer
    x = 1,375.17

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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.