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Finding the Fourth Proportional to 2,866.32, 4,296.78 and 1,566

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Solution

The fourth proportional to 2,866.32, 4,296.78 and 1,566 is: 2,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.32 : 4,296.78 = 1,566 : x
  2. Step 2: Convert to fraction form
    2,866.32/4,296.78 = 1,566/x
  3. Step 3: Cross multiply
    2,866.32x = 4,296.78 × 1,566
  4. Step 4: Simplify right side
    2,866.32x = 6,728,757.48
  5. Step 5: Solve for x
    x = 6,728,757.48/2,866.32
  6. Step 6: Final answer
    x = 2,347.52

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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.