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Finding the Fourth Proportional to 2,894.27, 4,339.38 and 1,432.49

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Solution

The fourth proportional to 2,894.27, 4,339.38 and 1,432.49 is: 2,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.27 : 4,339.38 = 1,432.49 : x
  2. Step 2: Convert to fraction form
    2,894.27/4,339.38 = 1,432.49/x
  3. Step 3: Cross multiply
    2,894.27x = 4,339.38 × 1,432.49
  4. Step 4: Simplify right side
    2,894.27x = 6,216,118.46
  5. Step 5: Solve for x
    x = 6,216,118.46/2,894.27
  6. Step 6: Final answer
    x = 2,147.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.