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Finding the Fourth Proportional to 2,282.71, 3,150.14 and 1,234.77

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Solution

The fourth proportional to 2,282.71, 3,150.14 and 1,234.77 is: 1,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.71 : 3,150.14 = 1,234.77 : x
  2. Step 2: Convert to fraction form
    2,282.71/3,150.14 = 1,234.77/x
  3. Step 3: Cross multiply
    2,282.71x = 3,150.14 × 1,234.77
  4. Step 4: Simplify right side
    2,282.71x = 3,889,692.19
  5. Step 5: Solve for x
    x = 3,889,692.19/2,282.71
  6. Step 6: Final answer
    x = 1,703.98

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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.