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Finding the Fourth Proportional to 2,125.27, 2,932.74 and 1,228.74

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Solution

The fourth proportional to 2,125.27, 2,932.74 and 1,228.74 is: 1,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.27 : 2,932.74 = 1,228.74 : x
  2. Step 2: Convert to fraction form
    2,125.27/2,932.74 = 1,228.74/x
  3. Step 3: Cross multiply
    2,125.27x = 2,932.74 × 1,228.74
  4. Step 4: Simplify right side
    2,125.27x = 3,603,563.95
  5. Step 5: Solve for x
    x = 3,603,563.95/2,125.27
  6. Step 6: Final answer
    x = 1,695.58

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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.