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Finding the Fourth Proportional to 2,251.41, 3,377.65 and 712.41

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Solution

The fourth proportional to 2,251.41, 3,377.65 and 712.41 is: 1,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.41 : 3,377.65 = 712.41 : x
  2. Step 2: Convert to fraction form
    2,251.41/3,377.65 = 712.41/x
  3. Step 3: Cross multiply
    2,251.41x = 3,377.65 × 712.41
  4. Step 4: Simplify right side
    2,251.41x = 2,406,271.64
  5. Step 5: Solve for x
    x = 2,406,271.64/2,251.41
  6. Step 6: Final answer
    x = 1,068.78

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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.