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Finding the Fourth Proportional to 2,170.40, 2,995.17 and 1,274.68

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Solution

The fourth proportional to 2,170.40, 2,995.17 and 1,274.68 is: 1,759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.40 : 2,995.17 = 1,274.68 : x
  2. Step 2: Convert to fraction form
    2,170.40/2,995.17 = 1,274.68/x
  3. Step 3: Cross multiply
    2,170.40x = 2,995.17 × 1,274.68
  4. Step 4: Simplify right side
    2,170.40x = 3,817,868.32
  5. Step 5: Solve for x
    x = 3,817,868.32/2,170.40
  6. Step 6: Final answer
    x = 1,759.06

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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.