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Finding the Fourth Proportional to 3,256.20, 4,883.79 and 916.38

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Solution

The fourth proportional to 3,256.20, 4,883.79 and 916.38 is: 1,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.20 : 4,883.79 = 916.38 : x
  2. Step 2: Convert to fraction form
    3,256.20/4,883.79 = 916.38/x
  3. Step 3: Cross multiply
    3,256.20x = 4,883.79 × 916.38
  4. Step 4: Simplify right side
    3,256.20x = 4,475,407.48
  5. Step 5: Solve for x
    x = 4,475,407.48/3,256.20
  6. Step 6: Final answer
    x = 1,374.43

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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.