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Finding the Fourth Proportional to 2,703.95, 4,060.17 and 1,596.78

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Solution

The fourth proportional to 2,703.95, 4,060.17 and 1,596.78 is: 2,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.95 : 4,060.17 = 1,596.78 : x
  2. Step 2: Convert to fraction form
    2,703.95/4,060.17 = 1,596.78/x
  3. Step 3: Cross multiply
    2,703.95x = 4,060.17 × 1,596.78
  4. Step 4: Simplify right side
    2,703.95x = 6,483,198.25
  5. Step 5: Solve for x
    x = 6,483,198.25/2,703.95
  6. Step 6: Final answer
    x = 2,397.68

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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.