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Finding the Fourth Proportional to 2,543.60, 3,510.30 and 1,424.48

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Solution

The fourth proportional to 2,543.60, 3,510.30 and 1,424.48 is: 1,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.60 : 3,510.30 = 1,424.48 : x
  2. Step 2: Convert to fraction form
    2,543.60/3,510.30 = 1,424.48/x
  3. Step 3: Cross multiply
    2,543.60x = 3,510.30 × 1,424.48
  4. Step 4: Simplify right side
    2,543.60x = 5,000,339.93
  5. Step 5: Solve for x
    x = 5,000,339.93/2,543.60
  6. Step 6: Final answer
    x = 1,965.85

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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.