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Finding the Fourth Proportional to 2,543.66, 3,508.43 and 1,549

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Solution

The fourth proportional to 2,543.66, 3,508.43 and 1,549 is: 2,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.66 : 3,508.43 = 1,549 : x
  2. Step 2: Convert to fraction form
    2,543.66/3,508.43 = 1,549/x
  3. Step 3: Cross multiply
    2,543.66x = 3,508.43 × 1,549
  4. Step 4: Simplify right side
    2,543.66x = 5,434,558.07
  5. Step 5: Solve for x
    x = 5,434,558.07/2,543.66
  6. Step 6: Final answer
    x = 2,136.51

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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.