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Finding the Fourth Proportional to 1,872.01, 2,583.17 and 1,032.66

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Solution

The fourth proportional to 1,872.01, 2,583.17 and 1,032.66 is: 1,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.01 : 2,583.17 = 1,032.66 : x
  2. Step 2: Convert to fraction form
    1,872.01/2,583.17 = 1,032.66/x
  3. Step 3: Cross multiply
    1,872.01x = 2,583.17 × 1,032.66
  4. Step 4: Simplify right side
    1,872.01x = 2,667,536.33
  5. Step 5: Solve for x
    x = 2,667,536.33/1,872.01
  6. Step 6: Final answer
    x = 1,424.96

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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.