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Finding the Fourth Proportional to 2,042.16, 3,060.81 and 742.11

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Solution

The fourth proportional to 2,042.16, 3,060.81 and 742.11 is: 1,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.16 : 3,060.81 = 742.11 : x
  2. Step 2: Convert to fraction form
    2,042.16/3,060.81 = 742.11/x
  3. Step 3: Cross multiply
    2,042.16x = 3,060.81 × 742.11
  4. Step 4: Simplify right side
    2,042.16x = 2,271,457.71
  5. Step 5: Solve for x
    x = 2,271,457.71/2,042.16
  6. Step 6: Final answer
    x = 1,112.28

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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.