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Finding the Fourth Proportional to 2,774.96, 4,158.34 and 1,213.53

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Solution

The fourth proportional to 2,774.96, 4,158.34 and 1,213.53 is: 1,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.96 : 4,158.34 = 1,213.53 : x
  2. Step 2: Convert to fraction form
    2,774.96/4,158.34 = 1,213.53/x
  3. Step 3: Cross multiply
    2,774.96x = 4,158.34 × 1,213.53
  4. Step 4: Simplify right side
    2,774.96x = 5,046,275.10
  5. Step 5: Solve for x
    x = 5,046,275.10/2,774.96
  6. Step 6: Final answer
    x = 1,818.50

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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.