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Finding the Fourth Proportional to 3,232.14, 4,848.09 and 1,040.88

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Solution

The fourth proportional to 3,232.14, 4,848.09 and 1,040.88 is: 1,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.14 : 4,848.09 = 1,040.88 : x
  2. Step 2: Convert to fraction form
    3,232.14/4,848.09 = 1,040.88/x
  3. Step 3: Cross multiply
    3,232.14x = 4,848.09 × 1,040.88
  4. Step 4: Simplify right side
    3,232.14x = 5,046,279.92
  5. Step 5: Solve for x
    x = 5,046,279.92/3,232.14
  6. Step 6: Final answer
    x = 1,561.28

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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.