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Finding the Fourth Proportional to 2,232.64, 3,347.88 and 1,077.04

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Solution

The fourth proportional to 2,232.64, 3,347.88 and 1,077.04 is: 1,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.64 : 3,347.88 = 1,077.04 : x
  2. Step 2: Convert to fraction form
    2,232.64/3,347.88 = 1,077.04/x
  3. Step 3: Cross multiply
    2,232.64x = 3,347.88 × 1,077.04
  4. Step 4: Simplify right side
    2,232.64x = 3,605,800.68
  5. Step 5: Solve for x
    x = 3,605,800.68/2,232.64
  6. Step 6: Final answer
    x = 1,615.04

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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.