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Finding the Fourth Proportional to 2,127.16, 3,189.96 and 740.16

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Solution

The fourth proportional to 2,127.16, 3,189.96 and 740.16 is: 1,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.16 : 3,189.96 = 740.16 : x
  2. Step 2: Convert to fraction form
    2,127.16/3,189.96 = 740.16/x
  3. Step 3: Cross multiply
    2,127.16x = 3,189.96 × 740.16
  4. Step 4: Simplify right side
    2,127.16x = 2,361,080.79
  5. Step 5: Solve for x
    x = 2,361,080.79/2,127.16
  6. Step 6: Final answer
    x = 1,109.97

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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.