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Finding the Fourth Proportional to 2,476.50, 3,715.06 and 916.24

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Solution

The fourth proportional to 2,476.50, 3,715.06 and 916.24 is: 1,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.50 : 3,715.06 = 916.24 : x
  2. Step 2: Convert to fraction form
    2,476.50/3,715.06 = 916.24/x
  3. Step 3: Cross multiply
    2,476.50x = 3,715.06 × 916.24
  4. Step 4: Simplify right side
    2,476.50x = 3,403,886.57
  5. Step 5: Solve for x
    x = 3,403,886.57/2,476.50
  6. Step 6: Final answer
    x = 1,374.47

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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.