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Finding the Fourth Proportional to 3,158.96, 4,359.16 and 1,761.68

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Solution

The fourth proportional to 3,158.96, 4,359.16 and 1,761.68 is: 2,431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.96 : 4,359.16 = 1,761.68 : x
  2. Step 2: Convert to fraction form
    3,158.96/4,359.16 = 1,761.68/x
  3. Step 3: Cross multiply
    3,158.96x = 4,359.16 × 1,761.68
  4. Step 4: Simplify right side
    3,158.96x = 7,679,444.99
  5. Step 5: Solve for x
    x = 7,679,444.99/3,158.96
  6. Step 6: Final answer
    x = 2,431.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.