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Finding the Fourth Proportional to 1,167.01, 1,740.34 and 1,102.31

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Solution

The fourth proportional to 1,167.01, 1,740.34 and 1,102.31 is: 1,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.01 : 1,740.34 = 1,102.31 : x
  2. Step 2: Convert to fraction form
    1,167.01/1,740.34 = 1,102.31/x
  3. Step 3: Cross multiply
    1,167.01x = 1,740.34 × 1,102.31
  4. Step 4: Simplify right side
    1,167.01x = 1,918,387.19
  5. Step 5: Solve for x
    x = 1,918,387.19/1,167.01
  6. Step 6: Final answer
    x = 1,643.85

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