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Finding the Fourth Proportional to 2,530.78, 3,494.10 and 1,634.92

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Solution

The fourth proportional to 2,530.78, 3,494.10 and 1,634.92 is: 2,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.78 : 3,494.10 = 1,634.92 : x
  2. Step 2: Convert to fraction form
    2,530.78/3,494.10 = 1,634.92/x
  3. Step 3: Cross multiply
    2,530.78x = 3,494.10 × 1,634.92
  4. Step 4: Simplify right side
    2,530.78x = 5,712,573.97
  5. Step 5: Solve for x
    x = 5,712,573.97/2,530.78
  6. Step 6: Final answer
    x = 2,257.24

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1.5x scale

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.