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Finding the Fourth Proportional to 2,920.88, 4,379.70 and 1,165.74

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Solution

The fourth proportional to 2,920.88, 4,379.70 and 1,165.74 is: 1,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.88 : 4,379.70 = 1,165.74 : x
  2. Step 2: Convert to fraction form
    2,920.88/4,379.70 = 1,165.74/x
  3. Step 3: Cross multiply
    2,920.88x = 4,379.70 × 1,165.74
  4. Step 4: Simplify right side
    2,920.88x = 5,105,591.48
  5. Step 5: Solve for x
    x = 5,105,591.48/2,920.88
  6. Step 6: Final answer
    x = 1,747.96

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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.