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Finding the Fourth Proportional to 2,702.89, 4,055.93 and 1,142.80

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Solution

The fourth proportional to 2,702.89, 4,055.93 and 1,142.80 is: 1,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.89 : 4,055.93 = 1,142.80 : x
  2. Step 2: Convert to fraction form
    2,702.89/4,055.93 = 1,142.80/x
  3. Step 3: Cross multiply
    2,702.89x = 4,055.93 × 1,142.80
  4. Step 4: Simplify right side
    2,702.89x = 4,635,116.80
  5. Step 5: Solve for x
    x = 4,635,116.80/2,702.89
  6. Step 6: Final answer
    x = 1,714.87

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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.