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Finding the Fourth Proportional to 2,543.75, 3,510.33 and 1,424.68

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Solution

The fourth proportional to 2,543.75, 3,510.33 and 1,424.68 is: 1,966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.75 : 3,510.33 = 1,424.68 : x
  2. Step 2: Convert to fraction form
    2,543.75/3,510.33 = 1,424.68/x
  3. Step 3: Cross multiply
    2,543.75x = 3,510.33 × 1,424.68
  4. Step 4: Simplify right side
    2,543.75x = 5,001,079.39
  5. Step 5: Solve for x
    x = 5,001,079.39/2,543.75
  6. Step 6: Final answer
    x = 1,966.03

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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.