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Finding the Fourth Proportional to 2,514.68, 3,468.12 and 2,048.12

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Solution

The fourth proportional to 2,514.68, 3,468.12 and 2,048.12 is: 2,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.68 : 3,468.12 = 2,048.12 : x
  2. Step 2: Convert to fraction form
    2,514.68/3,468.12 = 2,048.12/x
  3. Step 3: Cross multiply
    2,514.68x = 3,468.12 × 2,048.12
  4. Step 4: Simplify right side
    2,514.68x = 7,103,125.93
  5. Step 5: Solve for x
    x = 7,103,125.93/2,514.68
  6. Step 6: Final answer
    x = 2,824.66

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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.