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Finding the Fourth Proportional to 2,942.32, 4,417.72 and 2,581.48

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Solution

The fourth proportional to 2,942.32, 4,417.72 and 2,581.48 is: 3,875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.32 : 4,417.72 = 2,581.48 : x
  2. Step 2: Convert to fraction form
    2,942.32/4,417.72 = 2,581.48/x
  3. Step 3: Cross multiply
    2,942.32x = 4,417.72 × 2,581.48
  4. Step 4: Simplify right side
    2,942.32x = 11,404,255.83
  5. Step 5: Solve for x
    x = 11,404,255.83/2,942.32
  6. Step 6: Final answer
    x = 3,875.94

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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.