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Finding the Fourth Proportional to 2,451.90, 3,383.54 and 1,403.76

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Solution

The fourth proportional to 2,451.90, 3,383.54 and 1,403.76 is: 1,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.90 : 3,383.54 = 1,403.76 : x
  2. Step 2: Convert to fraction form
    2,451.90/3,383.54 = 1,403.76/x
  3. Step 3: Cross multiply
    2,451.90x = 3,383.54 × 1,403.76
  4. Step 4: Simplify right side
    2,451.90x = 4,749,694.31
  5. Step 5: Solve for x
    x = 4,749,694.31/2,451.90
  6. Step 6: Final answer
    x = 1,937.15

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Why These Related Problems?

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