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Finding the Fourth Proportional to 2,451.74, 3,383.46 and 1,403.78

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Solution

The fourth proportional to 2,451.74, 3,383.46 and 1,403.78 is: 1,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.74 : 3,383.46 = 1,403.78 : x
  2. Step 2: Convert to fraction form
    2,451.74/3,383.46 = 1,403.78/x
  3. Step 3: Cross multiply
    2,451.74x = 3,383.46 × 1,403.78
  4. Step 4: Simplify right side
    2,451.74x = 4,749,633.48
  5. Step 5: Solve for x
    x = 4,749,633.48/2,451.74
  6. Step 6: Final answer
    x = 1,937.25

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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.