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Finding the Fourth Proportional to 1,142.01, 1,714.23 and 1,117.22

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Solution

The fourth proportional to 1,142.01, 1,714.23 and 1,117.22 is: 1,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.01 : 1,714.23 = 1,117.22 : x
  2. Step 2: Convert to fraction form
    1,142.01/1,714.23 = 1,117.22/x
  3. Step 3: Cross multiply
    1,142.01x = 1,714.23 × 1,117.22
  4. Step 4: Simplify right side
    1,142.01x = 1,915,163.47
  5. Step 5: Solve for x
    x = 1,915,163.47/1,142.01
  6. Step 6: Final answer
    x = 1,677.01

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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.