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Finding the Fourth Proportional to 2,543.25, 3,509.64 and 1,424.18

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Solution

The fourth proportional to 2,543.25, 3,509.64 and 1,424.18 is: 1,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.25 : 3,509.64 = 1,424.18 : x
  2. Step 2: Convert to fraction form
    2,543.25/3,509.64 = 1,424.18/x
  3. Step 3: Cross multiply
    2,543.25x = 3,509.64 × 1,424.18
  4. Step 4: Simplify right side
    2,543.25x = 4,998,347.66
  5. Step 5: Solve for x
    x = 4,998,347.66/2,543.25
  6. Step 6: Final answer
    x = 1,965.34

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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.