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Finding the Fourth Proportional to 1,462.46, 2,017.81 and 872.57

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Solution

The fourth proportional to 1,462.46, 2,017.81 and 872.57 is: 1,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.46 : 2,017.81 = 872.57 : x
  2. Step 2: Convert to fraction form
    1,462.46/2,017.81 = 872.57/x
  3. Step 3: Cross multiply
    1,462.46x = 2,017.81 × 872.57
  4. Step 4: Simplify right side
    1,462.46x = 1,760,686.61
  5. Step 5: Solve for x
    x = 1,760,686.61/1,462.46
  6. Step 6: Final answer
    x = 1,203.93

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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.