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Finding the Fourth Proportional to 1,452.33, 2,176.34 and 963.63

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Solution

The fourth proportional to 1,452.33, 2,176.34 and 963.63 is: 1,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.33 : 2,176.34 = 963.63 : x
  2. Step 2: Convert to fraction form
    1,452.33/2,176.34 = 963.63/x
  3. Step 3: Cross multiply
    1,452.33x = 2,176.34 × 963.63
  4. Step 4: Simplify right side
    1,452.33x = 2,097,181.70
  5. Step 5: Solve for x
    x = 2,097,181.70/1,452.33
  6. Step 6: Final answer
    x = 1,444.01

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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.