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Finding the Fourth Proportional to 2,543.43, 3,509.96 and 1,424.55

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Solution

The fourth proportional to 2,543.43, 3,509.96 and 1,424.55 is: 1,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.43 : 3,509.96 = 1,424.55 : x
  2. Step 2: Convert to fraction form
    2,543.43/3,509.96 = 1,424.55/x
  3. Step 3: Cross multiply
    2,543.43x = 3,509.96 × 1,424.55
  4. Step 4: Simplify right side
    2,543.43x = 5,000,106.40
  5. Step 5: Solve for x
    x = 5,000,106.40/2,543.43
  6. Step 6: Final answer
    x = 1,965.89

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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.