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Finding the Fourth Proportional to 2,029.08, 2,800.13 and 1,097.58

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Solution

The fourth proportional to 2,029.08, 2,800.13 and 1,097.58 is: 1,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.08 : 2,800.13 = 1,097.58 : x
  2. Step 2: Convert to fraction form
    2,029.08/2,800.13 = 1,097.58/x
  3. Step 3: Cross multiply
    2,029.08x = 2,800.13 × 1,097.58
  4. Step 4: Simplify right side
    2,029.08x = 3,073,361.20
  5. Step 5: Solve for x
    x = 3,073,361.20/2,029.08
  6. Step 6: Final answer
    x = 1,514.66

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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.