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Finding the Fourth Proportional to 3,157.40, 4,357.02 and 1,760.12

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Solution

The fourth proportional to 3,157.40, 4,357.02 and 1,760.12 is: 2,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.40 : 4,357.02 = 1,760.12 : x
  2. Step 2: Convert to fraction form
    3,157.40/4,357.02 = 1,760.12/x
  3. Step 3: Cross multiply
    3,157.40x = 4,357.02 × 1,760.12
  4. Step 4: Simplify right side
    3,157.40x = 7,668,878.04
  5. Step 5: Solve for x
    x = 7,668,878.04/3,157.40
  6. Step 6: Final answer
    x = 2,428.86

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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.