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Finding the Fourth Proportional to 3,178.69, 4,390.28 and 2,114.61

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Solution

The fourth proportional to 3,178.69, 4,390.28 and 2,114.61 is: 2,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.69 : 4,390.28 = 2,114.61 : x
  2. Step 2: Convert to fraction form
    3,178.69/4,390.28 = 2,114.61/x
  3. Step 3: Cross multiply
    3,178.69x = 4,390.28 × 2,114.61
  4. Step 4: Simplify right side
    3,178.69x = 9,283,741.98
  5. Step 5: Solve for x
    x = 9,283,741.98/3,178.69
  6. Step 6: Final answer
    x = 2,920.62

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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.