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Finding the Fourth Proportional to 2,512.57, 3,467.57 and 1,393.86

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Solution

The fourth proportional to 2,512.57, 3,467.57 and 1,393.86 is: 1,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.57 : 3,467.57 = 1,393.86 : x
  2. Step 2: Convert to fraction form
    2,512.57/3,467.57 = 1,393.86/x
  3. Step 3: Cross multiply
    2,512.57x = 3,467.57 × 1,393.86
  4. Step 4: Simplify right side
    2,512.57x = 4,833,307.12
  5. Step 5: Solve for x
    x = 4,833,307.12/2,512.57
  6. Step 6: Final answer
    x = 1,923.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.