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Finding the Fourth Proportional to 3,157.31, 4,357.19 and 1,760.06

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Solution

The fourth proportional to 3,157.31, 4,357.19 and 1,760.06 is: 2,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.31 : 4,357.19 = 1,760.06 : x
  2. Step 2: Convert to fraction form
    3,157.31/4,357.19 = 1,760.06/x
  3. Step 3: Cross multiply
    3,157.31x = 4,357.19 × 1,760.06
  4. Step 4: Simplify right side
    3,157.31x = 7,668,931.12
  5. Step 5: Solve for x
    x = 7,668,931.12/3,157.31
  6. Step 6: Final answer
    x = 2,428.94

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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.