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Finding the Fourth Proportional to 2,731.95, 3,770.16 and 1,612.78

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Solution

The fourth proportional to 2,731.95, 3,770.16 and 1,612.78 is: 2,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.95 : 3,770.16 = 1,612.78 : x
  2. Step 2: Convert to fraction form
    2,731.95/3,770.16 = 1,612.78/x
  3. Step 3: Cross multiply
    2,731.95x = 3,770.16 × 1,612.78
  4. Step 4: Simplify right side
    2,731.95x = 6,080,438.64
  5. Step 5: Solve for x
    x = 6,080,438.64/2,731.95
  6. Step 6: Final answer
    x = 2,225.68

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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.