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Finding the Fourth Proportional to 2,543.67, 3,510.44 and 1,424.59

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Solution

The fourth proportional to 2,543.67, 3,510.44 and 1,424.59 is: 1,966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.67 : 3,510.44 = 1,424.59 : x
  2. Step 2: Convert to fraction form
    2,543.67/3,510.44 = 1,424.59/x
  3. Step 3: Cross multiply
    2,543.67x = 3,510.44 × 1,424.59
  4. Step 4: Simplify right side
    2,543.67x = 5,000,927.16
  5. Step 5: Solve for x
    x = 5,000,927.16/2,543.67
  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.