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Finding the Fourth Proportional to 2,774.50, 4,162.84 and 1,314.88

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Solution

The fourth proportional to 2,774.50, 4,162.84 and 1,314.88 is: 1,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.50 : 4,162.84 = 1,314.88 : x
  2. Step 2: Convert to fraction form
    2,774.50/4,162.84 = 1,314.88/x
  3. Step 3: Cross multiply
    2,774.50x = 4,162.84 × 1,314.88
  4. Step 4: Simplify right side
    2,774.50x = 5,473,621.36
  5. Step 5: Solve for x
    x = 5,473,621.36/2,774.50
  6. Step 6: Final answer
    x = 1,972.83

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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.