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Finding the Fourth Proportional to 1,399.74, 2,101.05 and 1,155.49

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Solution

The fourth proportional to 1,399.74, 2,101.05 and 1,155.49 is: 1,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.74 : 2,101.05 = 1,155.49 : x
  2. Step 2: Convert to fraction form
    1,399.74/2,101.05 = 1,155.49/x
  3. Step 3: Cross multiply
    1,399.74x = 2,101.05 × 1,155.49
  4. Step 4: Simplify right side
    1,399.74x = 2,427,739.67
  5. Step 5: Solve for x
    x = 2,427,739.67/1,399.74
  6. Step 6: Final answer
    x = 1,734.42

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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.