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Finding the Fourth Proportional to 2,702.44, 4,042.14 and 1,659.88

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Solution

The fourth proportional to 2,702.44, 4,042.14 and 1,659.88 is: 2,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.44 : 4,042.14 = 1,659.88 : x
  2. Step 2: Convert to fraction form
    2,702.44/4,042.14 = 1,659.88/x
  3. Step 3: Cross multiply
    2,702.44x = 4,042.14 × 1,659.88
  4. Step 4: Simplify right side
    2,702.44x = 6,709,467.34
  5. Step 5: Solve for x
    x = 6,709,467.34/2,702.44
  6. Step 6: Final answer
    x = 2,482.74

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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.