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Finding the Fourth Proportional to 6,042.78, 9,064.14 and 1,660.86

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Solution

The fourth proportional to 6,042.78, 9,064.14 and 1,660.86 is: 2,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.78 : 9,064.14 = 1,660.86 : x
  2. Step 2: Convert to fraction form
    6,042.78/9,064.14 = 1,660.86/x
  3. Step 3: Cross multiply
    6,042.78x = 9,064.14 × 1,660.86
  4. Step 4: Simplify right side
    6,042.78x = 15,054,267.56
  5. Step 5: Solve for x
    x = 15,054,267.56/6,042.78
  6. Step 6: Final answer
    x = 2,491.28

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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.