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Finding the Fourth Proportional to 2,543.12, 3,509.58 and 1,424.29

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Solution

The fourth proportional to 2,543.12, 3,509.58 and 1,424.29 is: 1,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.12 : 3,509.58 = 1,424.29 : x
  2. Step 2: Convert to fraction form
    2,543.12/3,509.58 = 1,424.29/x
  3. Step 3: Cross multiply
    2,543.12x = 3,509.58 × 1,424.29
  4. Step 4: Simplify right side
    2,543.12x = 4,998,650.83
  5. Step 5: Solve for x
    x = 4,998,650.83/2,543.12
  6. Step 6: Final answer
    x = 1,965.55

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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.