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Finding the Fourth Proportional to 2,266.10, 3,396.54 and 878.72

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Solution

The fourth proportional to 2,266.10, 3,396.54 and 878.72 is: 1,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.10 : 3,396.54 = 878.72 : x
  2. Step 2: Convert to fraction form
    2,266.10/3,396.54 = 878.72/x
  3. Step 3: Cross multiply
    2,266.10x = 3,396.54 × 878.72
  4. Step 4: Simplify right side
    2,266.10x = 2,984,607.63
  5. Step 5: Solve for x
    x = 2,984,607.63/2,266.10
  6. Step 6: Final answer
    x = 1,317.07

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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.