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Finding the Fourth Proportional to 1,142.12, 1,702.19 and 1,140.30

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Solution

The fourth proportional to 1,142.12, 1,702.19 and 1,140.30 is: 1,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.12 : 1,702.19 = 1,140.30 : x
  2. Step 2: Convert to fraction form
    1,142.12/1,702.19 = 1,140.30/x
  3. Step 3: Cross multiply
    1,142.12x = 1,702.19 × 1,140.30
  4. Step 4: Simplify right side
    1,142.12x = 1,941,001.56
  5. Step 5: Solve for x
    x = 1,941,001.56/1,142.12
  6. Step 6: Final answer
    x = 1,699.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.