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Finding the Fourth Proportional to 2,143.80, 3,197.61 and 1,955.16

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Solution

The fourth proportional to 2,143.80, 3,197.61 and 1,955.16 is: 2,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.80 : 3,197.61 = 1,955.16 : x
  2. Step 2: Convert to fraction form
    2,143.80/3,197.61 = 1,955.16/x
  3. Step 3: Cross multiply
    2,143.80x = 3,197.61 × 1,955.16
  4. Step 4: Simplify right side
    2,143.80x = 6,251,839.17
  5. Step 5: Solve for x
    x = 6,251,839.17/2,143.80
  6. Step 6: Final answer
    x = 2,916.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.