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Finding the Fourth Proportional to 2,029.03, 2,800.07 and 1,097.53

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Solution

The fourth proportional to 2,029.03, 2,800.07 and 1,097.53 is: 1,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.03 : 2,800.07 = 1,097.53 : x
  2. Step 2: Convert to fraction form
    2,029.03/2,800.07 = 1,097.53/x
  3. Step 3: Cross multiply
    2,029.03x = 2,800.07 × 1,097.53
  4. Step 4: Simplify right side
    2,029.03x = 3,073,162.96
  5. Step 5: Solve for x
    x = 3,073,162.96/2,029.03
  6. Step 6: Final answer
    x = 1,514.60

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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.