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Finding the Fourth Proportional to 2,029, 2,800.02 and 1,097.50

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Solution

The fourth proportional to 2,029, 2,800.02 and 1,097.50 is: 1,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029 : 2,800.02 = 1,097.50 : x
  2. Step 2: Convert to fraction form
    2,029/2,800.02 = 1,097.50/x
  3. Step 3: Cross multiply
    2,029x = 2,800.02 × 1,097.50
  4. Step 4: Simplify right side
    2,029x = 3,073,021.95
  5. Step 5: Solve for x
    x = 3,073,021.95/2,029
  6. Step 6: Final answer
    x = 1,514.55

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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.