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Finding the Fourth Proportional to 2,510.31, 3,762.74 and 1,121.73

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Solution

The fourth proportional to 2,510.31, 3,762.74 and 1,121.73 is: 1,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.31 : 3,762.74 = 1,121.73 : x
  2. Step 2: Convert to fraction form
    2,510.31/3,762.74 = 1,121.73/x
  3. Step 3: Cross multiply
    2,510.31x = 3,762.74 × 1,121.73
  4. Step 4: Simplify right side
    2,510.31x = 4,220,778.34
  5. Step 5: Solve for x
    x = 4,220,778.34/2,510.31
  6. Step 6: Final answer
    x = 1,681.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.