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Finding the Fourth Proportional to 1,512.72, 2,267.04 and 1,474.32

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Solution

The fourth proportional to 1,512.72, 2,267.04 and 1,474.32 is: 2,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.72 : 2,267.04 = 1,474.32 : x
  2. Step 2: Convert to fraction form
    1,512.72/2,267.04 = 1,474.32/x
  3. Step 3: Cross multiply
    1,512.72x = 2,267.04 × 1,474.32
  4. Step 4: Simplify right side
    1,512.72x = 3,342,342.41
  5. Step 5: Solve for x
    x = 3,342,342.41/1,512.72
  6. Step 6: Final answer
    x = 2,209.49

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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.