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Finding the Fourth Proportional to 2,289.77, 3,158.87 and 1,757.70

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Solution

The fourth proportional to 2,289.77, 3,158.87 and 1,757.70 is: 2,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.77 : 3,158.87 = 1,757.70 : x
  2. Step 2: Convert to fraction form
    2,289.77/3,158.87 = 1,757.70/x
  3. Step 3: Cross multiply
    2,289.77x = 3,158.87 × 1,757.70
  4. Step 4: Simplify right side
    2,289.77x = 5,552,337.01
  5. Step 5: Solve for x
    x = 5,552,337.01/2,289.77
  6. Step 6: Final answer
    x = 2,424.85

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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.