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Finding the Fourth Proportional to 2,916.34, 4,377.48 and 1,456.54

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Solution

The fourth proportional to 2,916.34, 4,377.48 and 1,456.54 is: 2,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.34 : 4,377.48 = 1,456.54 : x
  2. Step 2: Convert to fraction form
    2,916.34/4,377.48 = 1,456.54/x
  3. Step 3: Cross multiply
    2,916.34x = 4,377.48 × 1,456.54
  4. Step 4: Simplify right side
    2,916.34x = 6,375,974.72
  5. Step 5: Solve for x
    x = 6,375,974.72/2,916.34
  6. Step 6: Final answer
    x = 2,186.29

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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.