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Finding the Fourth Proportional to 2,932.74, 4,395.78 and 1,370.88

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Solution

The fourth proportional to 2,932.74, 4,395.78 and 1,370.88 is: 2,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.74 : 4,395.78 = 1,370.88 : x
  2. Step 2: Convert to fraction form
    2,932.74/4,395.78 = 1,370.88/x
  3. Step 3: Cross multiply
    2,932.74x = 4,395.78 × 1,370.88
  4. Step 4: Simplify right side
    2,932.74x = 6,026,086.89
  5. Step 5: Solve for x
    x = 6,026,086.89/2,932.74
  6. Step 6: Final answer
    x = 2,054.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.