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Finding the Fourth Proportional to 2,863.78, 4,295.59 and 916.10

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Solution

The fourth proportional to 2,863.78, 4,295.59 and 916.10 is: 1,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.78 : 4,295.59 = 916.10 : x
  2. Step 2: Convert to fraction form
    2,863.78/4,295.59 = 916.10/x
  3. Step 3: Cross multiply
    2,863.78x = 4,295.59 × 916.10
  4. Step 4: Simplify right side
    2,863.78x = 3,935,190.00
  5. Step 5: Solve for x
    x = 3,935,190.00/2,863.78
  6. Step 6: Final answer
    x = 1,374.12

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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.