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Finding the Fourth Proportional to 2,123.42, 3,184.52 and 736.02

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Solution

The fourth proportional to 2,123.42, 3,184.52 and 736.02 is: 1,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.42 : 3,184.52 = 736.02 : x
  2. Step 2: Convert to fraction form
    2,123.42/3,184.52 = 736.02/x
  3. Step 3: Cross multiply
    2,123.42x = 3,184.52 × 736.02
  4. Step 4: Simplify right side
    2,123.42x = 2,343,866.73
  5. Step 5: Solve for x
    x = 2,343,866.73/2,123.42
  6. Step 6: Final answer
    x = 1,103.82

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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.