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Finding the Fourth Proportional to 3,157.76, 4,357.68 and 1,760.24

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Solution

The fourth proportional to 3,157.76, 4,357.68 and 1,760.24 is: 2,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.76 : 4,357.68 = 1,760.24 : x
  2. Step 2: Convert to fraction form
    3,157.76/4,357.68 = 1,760.24/x
  3. Step 3: Cross multiply
    3,157.76x = 4,357.68 × 1,760.24
  4. Step 4: Simplify right side
    3,157.76x = 7,670,562.64
  5. Step 5: Solve for x
    x = 7,670,562.64/3,157.76
  6. Step 6: Final answer
    x = 2,429.12

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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.