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Finding the Fourth Proportional to 2,377.78, 3,567.27 and 916.54

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Solution

The fourth proportional to 2,377.78, 3,567.27 and 916.54 is: 1,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.78 : 3,567.27 = 916.54 : x
  2. Step 2: Convert to fraction form
    2,377.78/3,567.27 = 916.54/x
  3. Step 3: Cross multiply
    2,377.78x = 3,567.27 × 916.54
  4. Step 4: Simplify right side
    2,377.78x = 3,269,527.81
  5. Step 5: Solve for x
    x = 3,269,527.81/2,377.78
  6. Step 6: Final answer
    x = 1,375.04

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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.