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Finding the Fourth Proportional to 2,377.98, 3,564.24 and 916.38

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Solution

The fourth proportional to 2,377.98, 3,564.24 and 916.38 is: 1,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.98 : 3,564.24 = 916.38 : x
  2. Step 2: Convert to fraction form
    2,377.98/3,564.24 = 916.38/x
  3. Step 3: Cross multiply
    2,377.98x = 3,564.24 × 916.38
  4. Step 4: Simplify right side
    2,377.98x = 3,266,198.25
  5. Step 5: Solve for x
    x = 3,266,198.25/2,377.98
  6. Step 6: Final answer
    x = 1,373.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.