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Finding the Fourth Proportional to 2,080.67, 2,871.79 and 1,417.78

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Solution

The fourth proportional to 2,080.67, 2,871.79 and 1,417.78 is: 1,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.67 : 2,871.79 = 1,417.78 : x
  2. Step 2: Convert to fraction form
    2,080.67/2,871.79 = 1,417.78/x
  3. Step 3: Cross multiply
    2,080.67x = 2,871.79 × 1,417.78
  4. Step 4: Simplify right side
    2,080.67x = 4,071,566.47
  5. Step 5: Solve for x
    x = 4,071,566.47/2,080.67
  6. Step 6: Final answer
    x = 1,956.86

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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.