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Finding the Fourth Proportional to 2,167.40, 2,990.82 and 1,283.20

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Solution

The fourth proportional to 2,167.40, 2,990.82 and 1,283.20 is: 1,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.40 : 2,990.82 = 1,283.20 : x
  2. Step 2: Convert to fraction form
    2,167.40/2,990.82 = 1,283.20/x
  3. Step 3: Cross multiply
    2,167.40x = 2,990.82 × 1,283.20
  4. Step 4: Simplify right side
    2,167.40x = 3,837,820.22
  5. Step 5: Solve for x
    x = 3,837,820.22/2,167.40
  6. Step 6: Final answer
    x = 1,770.70

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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.