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Finding the Fourth Proportional to 2,029.02, 2,800.02 and 1,097.52

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Solution

The fourth proportional to 2,029.02, 2,800.02 and 1,097.52 is: 1,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.02 : 2,800.02 = 1,097.52 : x
  2. Step 2: Convert to fraction form
    2,029.02/2,800.02 = 1,097.52/x
  3. Step 3: Cross multiply
    2,029.02x = 2,800.02 × 1,097.52
  4. Step 4: Simplify right side
    2,029.02x = 3,073,071.57
  5. Step 5: Solve for x
    x = 3,073,071.57/2,029.02
  6. Step 6: Final answer
    x = 1,514.56

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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.