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Finding the Fourth Proportional to 2,143.66, 2,963.18 and 1,971.45

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Solution

The fourth proportional to 2,143.66, 2,963.18 and 1,971.45 is: 2,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.66 : 2,963.18 = 1,971.45 : x
  2. Step 2: Convert to fraction form
    2,143.66/2,963.18 = 1,971.45/x
  3. Step 3: Cross multiply
    2,143.66x = 2,963.18 × 1,971.45
  4. Step 4: Simplify right side
    2,143.66x = 5,841,761.21
  5. Step 5: Solve for x
    x = 5,841,761.21/2,143.66
  6. Step 6: Final answer
    x = 2,725.13

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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.