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Finding the Fourth Proportional to 2,813.48, 4,219.01 and 964.78

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Solution

The fourth proportional to 2,813.48, 4,219.01 and 964.78 is: 1,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.48 : 4,219.01 = 964.78 : x
  2. Step 2: Convert to fraction form
    2,813.48/4,219.01 = 964.78/x
  3. Step 3: Cross multiply
    2,813.48x = 4,219.01 × 964.78
  4. Step 4: Simplify right side
    2,813.48x = 4,070,390.55
  5. Step 5: Solve for x
    x = 4,070,390.55/2,813.48
  6. Step 6: Final answer
    x = 1,446.75

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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.