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Finding the Fourth Proportional to 2,864.56, 4,296.78 and 916.74

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Solution

The fourth proportional to 2,864.56, 4,296.78 and 916.74 is: 1,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.56 : 4,296.78 = 916.74 : x
  2. Step 2: Convert to fraction form
    2,864.56/4,296.78 = 916.74/x
  3. Step 3: Cross multiply
    2,864.56x = 4,296.78 × 916.74
  4. Step 4: Simplify right side
    2,864.56x = 3,939,030.10
  5. Step 5: Solve for x
    x = 3,939,030.10/2,864.56
  6. Step 6: Final answer
    x = 1,375.09

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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.