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Finding the Fourth Proportional to 2,377.14, 3,567.28 and 916.32

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Solution

The fourth proportional to 2,377.14, 3,567.28 and 916.32 is: 1,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.14 : 3,567.28 = 916.32 : x
  2. Step 2: Convert to fraction form
    2,377.14/3,567.28 = 916.32/x
  3. Step 3: Cross multiply
    2,377.14x = 3,567.28 × 916.32
  4. Step 4: Simplify right side
    2,377.14x = 3,268,770.01
  5. Step 5: Solve for x
    x = 3,268,770.01/2,377.14
  6. Step 6: Final answer
    x = 1,375.09

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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.