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Finding the Fourth Proportional to 2,721.93, 3,756.15 and 1,543.08

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Solution

The fourth proportional to 2,721.93, 3,756.15 and 1,543.08 is: 2,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.93 : 3,756.15 = 1,543.08 : x
  2. Step 2: Convert to fraction form
    2,721.93/3,756.15 = 1,543.08/x
  3. Step 3: Cross multiply
    2,721.93x = 3,756.15 × 1,543.08
  4. Step 4: Simplify right side
    2,721.93x = 5,796,039.94
  5. Step 5: Solve for x
    x = 5,796,039.94/2,721.93
  6. Step 6: Final answer
    x = 2,129.39

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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.