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Finding the Fourth Proportional to 2,470.78, 3,408 and 1,587.66

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Solution

The fourth proportional to 2,470.78, 3,408 and 1,587.66 is: 2,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.78 : 3,408 = 1,587.66 : x
  2. Step 2: Convert to fraction form
    2,470.78/3,408 = 1,587.66/x
  3. Step 3: Cross multiply
    2,470.78x = 3,408 × 1,587.66
  4. Step 4: Simplify right side
    2,470.78x = 5,410,745.28
  5. Step 5: Solve for x
    x = 5,410,745.28/2,470.78
  6. Step 6: Final answer
    x = 2,189.89

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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.