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Finding the Fourth Proportional to 2,167.59, 2,991.30 and 1,284.15

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Solution

The fourth proportional to 2,167.59, 2,991.30 and 1,284.15 is: 1,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.59 : 2,991.30 = 1,284.15 : x
  2. Step 2: Convert to fraction form
    2,167.59/2,991.30 = 1,284.15/x
  3. Step 3: Cross multiply
    2,167.59x = 2,991.30 × 1,284.15
  4. Step 4: Simplify right side
    2,167.59x = 3,841,284.30
  5. Step 5: Solve for x
    x = 3,841,284.30/2,167.59
  6. Step 6: Final answer
    x = 1,772.14

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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.