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Finding the Fourth Proportional to 2,541.78, 3,811.72 and 875.44

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Solution

The fourth proportional to 2,541.78, 3,811.72 and 875.44 is: 1,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.78 : 3,811.72 = 875.44 : x
  2. Step 2: Convert to fraction form
    2,541.78/3,811.72 = 875.44/x
  3. Step 3: Cross multiply
    2,541.78x = 3,811.72 × 875.44
  4. Step 4: Simplify right side
    2,541.78x = 3,336,913.10
  5. Step 5: Solve for x
    x = 3,336,913.10/2,541.78
  6. Step 6: Final answer
    x = 1,312.83

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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.