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Finding the Fourth Proportional to 2,291.57, 3,157.63 and 1,760.42

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Solution

The fourth proportional to 2,291.57, 3,157.63 and 1,760.42 is: 2,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.57 : 3,157.63 = 1,760.42 : x
  2. Step 2: Convert to fraction form
    2,291.57/3,157.63 = 1,760.42/x
  3. Step 3: Cross multiply
    2,291.57x = 3,157.63 × 1,760.42
  4. Step 4: Simplify right side
    2,291.57x = 5,558,763.96
  5. Step 5: Solve for x
    x = 5,558,763.96/2,291.57
  6. Step 6: Final answer
    x = 2,425.75

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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.