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Finding the Fourth Proportional to 1,543, 2,129.14 and 983.56

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Solution

The fourth proportional to 1,543, 2,129.14 and 983.56 is: 1,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543 : 2,129.14 = 983.56 : x
  2. Step 2: Convert to fraction form
    1,543/2,129.14 = 983.56/x
  3. Step 3: Cross multiply
    1,543x = 2,129.14 × 983.56
  4. Step 4: Simplify right side
    1,543x = 2,094,136.94
  5. Step 5: Solve for x
    x = 2,094,136.94/1,543
  6. Step 6: Final answer
    x = 1,357.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.