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Finding the Fourth Proportional to 2,543.47, 3,510.08 and 1,424.46

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Solution

The fourth proportional to 2,543.47, 3,510.08 and 1,424.46 is: 1,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.47 : 3,510.08 = 1,424.46 : x
  2. Step 2: Convert to fraction form
    2,543.47/3,510.08 = 1,424.46/x
  3. Step 3: Cross multiply
    2,543.47x = 3,510.08 × 1,424.46
  4. Step 4: Simplify right side
    2,543.47x = 4,999,968.56
  5. Step 5: Solve for x
    x = 4,999,968.56/2,543.47
  6. Step 6: Final answer
    x = 1,965.81

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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.