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Finding the Fourth Proportional to 3,178.61, 4,769.23 and 1,398.76

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Solution

The fourth proportional to 3,178.61, 4,769.23 and 1,398.76 is: 2,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.61 : 4,769.23 = 1,398.76 : x
  2. Step 2: Convert to fraction form
    3,178.61/4,769.23 = 1,398.76/x
  3. Step 3: Cross multiply
    3,178.61x = 4,769.23 × 1,398.76
  4. Step 4: Simplify right side
    3,178.61x = 6,670,977.31
  5. Step 5: Solve for x
    x = 6,670,977.31/3,178.61
  6. Step 6: Final answer
    x = 2,098.71

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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.