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Finding the Fourth Proportional to 2,864.28, 4,296.34 and 916.60

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Solution

The fourth proportional to 2,864.28, 4,296.34 and 916.60 is: 1,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.28 : 4,296.34 = 916.60 : x
  2. Step 2: Convert to fraction form
    2,864.28/4,296.34 = 916.60/x
  3. Step 3: Cross multiply
    2,864.28x = 4,296.34 × 916.60
  4. Step 4: Simplify right side
    2,864.28x = 3,938,025.24
  5. Step 5: Solve for x
    x = 3,938,025.24/2,864.28
  6. Step 6: Final answer
    x = 1,374.87

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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.