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Finding the Fourth Proportional to 2,512.16, 3,764.16 and 2,235.20

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Solution

The fourth proportional to 2,512.16, 3,764.16 and 2,235.20 is: 3,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.16 : 3,764.16 = 2,235.20 : x
  2. Step 2: Convert to fraction form
    2,512.16/3,764.16 = 2,235.20/x
  3. Step 3: Cross multiply
    2,512.16x = 3,764.16 × 2,235.20
  4. Step 4: Simplify right side
    2,512.16x = 8,413,650.43
  5. Step 5: Solve for x
    x = 8,413,650.43/2,512.16
  6. Step 6: Final answer
    x = 3,349.17

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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.