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Finding the Fourth Proportional to 3,232.57, 4,849.32 and 1,040.57

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Solution

The fourth proportional to 3,232.57, 4,849.32 and 1,040.57 is: 1,561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.57 : 4,849.32 = 1,040.57 : x
  2. Step 2: Convert to fraction form
    3,232.57/4,849.32 = 1,040.57/x
  3. Step 3: Cross multiply
    3,232.57x = 4,849.32 × 1,040.57
  4. Step 4: Simplify right side
    3,232.57x = 5,046,056.91
  5. Step 5: Solve for x
    x = 5,046,056.91/3,232.57
  6. Step 6: Final answer
    x = 1,561.00

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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.