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Finding the Fourth Proportional to 2,123.90, 3,186.02 and 736.67

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Solution

The fourth proportional to 2,123.90, 3,186.02 and 736.67 is: 1,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.90 : 3,186.02 = 736.67 : x
  2. Step 2: Convert to fraction form
    2,123.90/3,186.02 = 736.67/x
  3. Step 3: Cross multiply
    2,123.90x = 3,186.02 × 736.67
  4. Step 4: Simplify right side
    2,123.90x = 2,347,045.35
  5. Step 5: Solve for x
    x = 2,347,045.35/2,123.90
  6. Step 6: Final answer
    x = 1,105.06

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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.