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Finding the Fourth Proportional to 1,452.52, 2,178.72 and 356.88

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Solution

The fourth proportional to 1,452.52, 2,178.72 and 356.88 is: 535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.52 : 2,178.72 = 356.88 : x
  2. Step 2: Convert to fraction form
    1,452.52/2,178.72 = 356.88/x
  3. Step 3: Cross multiply
    1,452.52x = 2,178.72 × 356.88
  4. Step 4: Simplify right side
    1,452.52x = 777,541.59
  5. Step 5: Solve for x
    x = 777,541.59/1,452.52
  6. Step 6: Final answer
    x = 535.31

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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.