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Finding the Fourth Proportional to 2,702.50, 4,055.31 and 1,142.40

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Solution

The fourth proportional to 2,702.50, 4,055.31 and 1,142.40 is: 1,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.50 : 4,055.31 = 1,142.40 : x
  2. Step 2: Convert to fraction form
    2,702.50/4,055.31 = 1,142.40/x
  3. Step 3: Cross multiply
    2,702.50x = 4,055.31 × 1,142.40
  4. Step 4: Simplify right side
    2,702.50x = 4,632,784.88
  5. Step 5: Solve for x
    x = 4,632,784.88/2,702.50
  6. Step 6: Final answer
    x = 1,714.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.