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Finding the Fourth Proportional to 2,105.05, 2,903.50 and 1,358.77

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Solution

The fourth proportional to 2,105.05, 2,903.50 and 1,358.77 is: 1,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.05 : 2,903.50 = 1,358.77 : x
  2. Step 2: Convert to fraction form
    2,105.05/2,903.50 = 1,358.77/x
  3. Step 3: Cross multiply
    2,105.05x = 2,903.50 × 1,358.77
  4. Step 4: Simplify right side
    2,105.05x = 3,945,188.70
  5. Step 5: Solve for x
    x = 3,945,188.70/2,105.05
  6. Step 6: Final answer
    x = 1,874.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.