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Finding the Fourth Proportional to 2,864.26, 4,296.80 and 916.03

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Solution

The fourth proportional to 2,864.26, 4,296.80 and 916.03 is: 1,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.26 : 4,296.80 = 916.03 : x
  2. Step 2: Convert to fraction form
    2,864.26/4,296.80 = 916.03/x
  3. Step 3: Cross multiply
    2,864.26x = 4,296.80 × 916.03
  4. Step 4: Simplify right side
    2,864.26x = 3,935,997.70
  5. Step 5: Solve for x
    x = 3,935,997.70/2,864.26
  6. Step 6: Final answer
    x = 1,374.18

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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.