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Finding the Fourth Proportional to 2,461.92, 3,678.46 and 2,375.79

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Solution

The fourth proportional to 2,461.92, 3,678.46 and 2,375.79 is: 3,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.92 : 3,678.46 = 2,375.79 : x
  2. Step 2: Convert to fraction form
    2,461.92/3,678.46 = 2,375.79/x
  3. Step 3: Cross multiply
    2,461.92x = 3,678.46 × 2,375.79
  4. Step 4: Simplify right side
    2,461.92x = 8,739,228.75
  5. Step 5: Solve for x
    x = 8,739,228.75/2,461.92
  6. Step 6: Final answer
    x = 3,549.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.