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Finding the Fourth Proportional to 1,452, 2,179.42 and 1,130.88

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Solution

The fourth proportional to 1,452, 2,179.42 and 1,130.88 is: 1,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452 : 2,179.42 = 1,130.88 : x
  2. Step 2: Convert to fraction form
    1,452/2,179.42 = 1,130.88/x
  3. Step 3: Cross multiply
    1,452x = 2,179.42 × 1,130.88
  4. Step 4: Simplify right side
    1,452x = 2,464,662.49
  5. Step 5: Solve for x
    x = 2,464,662.49/1,452
  6. Step 6: Final answer
    x = 1,697.43

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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.