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Finding the Fourth Proportional to 2,703.91, 3,729.47 and 1,757.95

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Solution

The fourth proportional to 2,703.91, 3,729.47 and 1,757.95 is: 2,424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.91 : 3,729.47 = 1,757.95 : x
  2. Step 2: Convert to fraction form
    2,703.91/3,729.47 = 1,757.95/x
  3. Step 3: Cross multiply
    2,703.91x = 3,729.47 × 1,757.95
  4. Step 4: Simplify right side
    2,703.91x = 6,556,216.86
  5. Step 5: Solve for x
    x = 6,556,216.86/2,703.91
  6. Step 6: Final answer
    x = 2,424.72

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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.