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Finding the Fourth Proportional to 2,566.68, 3,851.16 and 2,347.92

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Solution

The fourth proportional to 2,566.68, 3,851.16 and 2,347.92 is: 3,522.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.68 : 3,851.16 = 2,347.92 : x
  2. Step 2: Convert to fraction form
    2,566.68/3,851.16 = 2,347.92/x
  3. Step 3: Cross multiply
    2,566.68x = 3,851.16 × 2,347.92
  4. Step 4: Simplify right side
    2,566.68x = 9,042,215.59
  5. Step 5: Solve for x
    x = 9,042,215.59/2,566.68
  6. Step 6: Final answer
    x = 3,522.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.