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Finding the Fourth Proportional to 2,886.68, 3,966.30 and 2,296.19

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Solution

The fourth proportional to 2,886.68, 3,966.30 and 2,296.19 is: 3,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.68 : 3,966.30 = 2,296.19 : x
  2. Step 2: Convert to fraction form
    2,886.68/3,966.30 = 2,296.19/x
  3. Step 3: Cross multiply
    2,886.68x = 3,966.30 × 2,296.19
  4. Step 4: Simplify right side
    2,886.68x = 9,107,378.40
  5. Step 5: Solve for x
    x = 9,107,378.40/2,886.68
  6. Step 6: Final answer
    x = 3,154.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.