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Finding the Fourth Proportional to 2,123.85, 3,188.51 and 1,150.64

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Solution

The fourth proportional to 2,123.85, 3,188.51 and 1,150.64 is: 1,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.85 : 3,188.51 = 1,150.64 : x
  2. Step 2: Convert to fraction form
    2,123.85/3,188.51 = 1,150.64/x
  3. Step 3: Cross multiply
    2,123.85x = 3,188.51 × 1,150.64
  4. Step 4: Simplify right side
    2,123.85x = 3,668,821.72
  5. Step 5: Solve for x
    x = 3,668,821.72/2,123.85
  6. Step 6: Final answer
    x = 1,727.44

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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.