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Finding the Fourth Proportional to 2,998.75, 4,498.85 and 1,514.32

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Solution

The fourth proportional to 2,998.75, 4,498.85 and 1,514.32 is: 2,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.75 : 4,498.85 = 1,514.32 : x
  2. Step 2: Convert to fraction form
    2,998.75/4,498.85 = 1,514.32/x
  3. Step 3: Cross multiply
    2,998.75x = 4,498.85 × 1,514.32
  4. Step 4: Simplify right side
    2,998.75x = 6,812,691.07
  5. Step 5: Solve for x
    x = 6,812,691.07/2,998.75
  6. Step 6: Final answer
    x = 2,271.85

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1.5x scale

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.