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Finding the Fourth Proportional to 2,543.93, 3,510.32 and 1,424.80

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Solution

The fourth proportional to 2,543.93, 3,510.32 and 1,424.80 is: 1,966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.93 : 3,510.32 = 1,424.80 : x
  2. Step 2: Convert to fraction form
    2,543.93/3,510.32 = 1,424.80/x
  3. Step 3: Cross multiply
    2,543.93x = 3,510.32 × 1,424.80
  4. Step 4: Simplify right side
    2,543.93x = 5,001,520.16
  5. Step 5: Solve for x
    x = 5,001,520.16/2,543.93
  6. Step 6: Final answer
    x = 1,966.06

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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.