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Finding the Fourth Proportional to 2,042.04, 3,061.24 and 946.12

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Solution

The fourth proportional to 2,042.04, 3,061.24 and 946.12 is: 1,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.04 : 3,061.24 = 946.12 : x
  2. Step 2: Convert to fraction form
    2,042.04/3,061.24 = 946.12/x
  3. Step 3: Cross multiply
    2,042.04x = 3,061.24 × 946.12
  4. Step 4: Simplify right side
    2,042.04x = 2,896,300.39
  5. Step 5: Solve for x
    x = 2,896,300.39/2,042.04
  6. Step 6: Final answer
    x = 1,418.34

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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.