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Finding the Fourth Proportional to 2,123.42, 3,182.04 and 1,862.78

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Solution

The fourth proportional to 2,123.42, 3,182.04 and 1,862.78 is: 2,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.42 : 3,182.04 = 1,862.78 : x
  2. Step 2: Convert to fraction form
    2,123.42/3,182.04 = 1,862.78/x
  3. Step 3: Cross multiply
    2,123.42x = 3,182.04 × 1,862.78
  4. Step 4: Simplify right side
    2,123.42x = 5,927,440.47
  5. Step 5: Solve for x
    x = 5,927,440.47/2,123.42
  6. Step 6: Final answer
    x = 2,791.46

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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.