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Finding the Fourth Proportional to 3,279.66, 4,526.30 and 2,020.47

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Solution

The fourth proportional to 3,279.66, 4,526.30 and 2,020.47 is: 2,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.66 : 4,526.30 = 2,020.47 : x
  2. Step 2: Convert to fraction form
    3,279.66/4,526.30 = 2,020.47/x
  3. Step 3: Cross multiply
    3,279.66x = 4,526.30 × 2,020.47
  4. Step 4: Simplify right side
    3,279.66x = 9,145,220.63
  5. Step 5: Solve for x
    x = 9,145,220.63/3,279.66
  6. Step 6: Final answer
    x = 2,788.47

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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.