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Finding the Fourth Proportional to 1,408.77, 1,939.23 and 1,221.15

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Solution

The fourth proportional to 1,408.77, 1,939.23 and 1,221.15 is: 1,680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.77 : 1,939.23 = 1,221.15 : x
  2. Step 2: Convert to fraction form
    1,408.77/1,939.23 = 1,221.15/x
  3. Step 3: Cross multiply
    1,408.77x = 1,939.23 × 1,221.15
  4. Step 4: Simplify right side
    1,408.77x = 2,368,090.71
  5. Step 5: Solve for x
    x = 2,368,090.71/1,408.77
  6. Step 6: Final answer
    x = 1,680.96

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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.