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Finding the Fourth Proportional to 2,543.45, 3,510.06 and 1,424.33

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Solution

The fourth proportional to 2,543.45, 3,510.06 and 1,424.33 is: 1,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.45 : 3,510.06 = 1,424.33 : x
  2. Step 2: Convert to fraction form
    2,543.45/3,510.06 = 1,424.33/x
  3. Step 3: Cross multiply
    2,543.45x = 3,510.06 × 1,424.33
  4. Step 4: Simplify right side
    2,543.45x = 4,999,497.78
  5. Step 5: Solve for x
    x = 4,999,497.78/2,543.45
  6. Step 6: Final answer
    x = 1,965.64

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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.