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Finding the Fourth Proportional to 2,864.15, 4,296.05 and 916.19

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Solution

The fourth proportional to 2,864.15, 4,296.05 and 916.19 is: 1,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.15 : 4,296.05 = 916.19 : x
  2. Step 2: Convert to fraction form
    2,864.15/4,296.05 = 916.19/x
  3. Step 3: Cross multiply
    2,864.15x = 4,296.05 × 916.19
  4. Step 4: Simplify right side
    2,864.15x = 3,935,998.05
  5. Step 5: Solve for x
    x = 3,935,998.05/2,864.15
  6. Step 6: Final answer
    x = 1,374.23

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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.