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Finding the Fourth Proportional to 3,407.80, 4,702.98 and 2,232.04

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Solution

The fourth proportional to 3,407.80, 4,702.98 and 2,232.04 is: 3,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.80 : 4,702.98 = 2,232.04 : x
  2. Step 2: Convert to fraction form
    3,407.80/4,702.98 = 2,232.04/x
  3. Step 3: Cross multiply
    3,407.80x = 4,702.98 × 2,232.04
  4. Step 4: Simplify right side
    3,407.80x = 10,497,239.48
  5. Step 5: Solve for x
    x = 10,497,239.48/3,407.80
  6. Step 6: Final answer
    x = 3,080.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.