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Finding the Fourth Proportional to 2,983.72, 4,116.88 and 1,741

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Solution

The fourth proportional to 2,983.72, 4,116.88 and 1,741 is: 2,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.72 : 4,116.88 = 1,741 : x
  2. Step 2: Convert to fraction form
    2,983.72/4,116.88 = 1,741/x
  3. Step 3: Cross multiply
    2,983.72x = 4,116.88 × 1,741
  4. Step 4: Simplify right side
    2,983.72x = 7,167,488.08
  5. Step 5: Solve for x
    x = 7,167,488.08/2,983.72
  6. Step 6: Final answer
    x = 2,402.20

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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.