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Finding the Fourth Proportional to 2,749.70, 4,123.35 and 1,105.70

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Solution

The fourth proportional to 2,749.70, 4,123.35 and 1,105.70 is: 1,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.70 : 4,123.35 = 1,105.70 : x
  2. Step 2: Convert to fraction form
    2,749.70/4,123.35 = 1,105.70/x
  3. Step 3: Cross multiply
    2,749.70x = 4,123.35 × 1,105.70
  4. Step 4: Simplify right side
    2,749.70x = 4,559,188.10
  5. Step 5: Solve for x
    x = 4,559,188.10/2,749.70
  6. Step 6: Final answer
    x = 1,658.07

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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.