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Finding the Fourth Proportional to 2,543.95, 3,510.98 and 1,425.31

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Solution

The fourth proportional to 2,543.95, 3,510.98 and 1,425.31 is: 1,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.95 : 3,510.98 = 1,425.31 : x
  2. Step 2: Convert to fraction form
    2,543.95/3,510.98 = 1,425.31/x
  3. Step 3: Cross multiply
    2,543.95x = 3,510.98 × 1,425.31
  4. Step 4: Simplify right side
    2,543.95x = 5,004,234.90
  5. Step 5: Solve for x
    x = 5,004,234.90/2,543.95
  6. Step 6: Final answer
    x = 1,967.11

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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.