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Finding the Fourth Proportional to 2,123.90, 3,186.30 and 738.37

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Solution

The fourth proportional to 2,123.90, 3,186.30 and 738.37 is: 1,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.90 : 3,186.30 = 738.37 : x
  2. Step 2: Convert to fraction form
    2,123.90/3,186.30 = 738.37/x
  3. Step 3: Cross multiply
    2,123.90x = 3,186.30 × 738.37
  4. Step 4: Simplify right side
    2,123.90x = 2,352,652.40
  5. Step 5: Solve for x
    x = 2,352,652.40/2,123.90
  6. Step 6: Final answer
    x = 1,107.70

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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.