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Finding the Fourth Proportional to 2,029.13, 2,800.04 and 1,144.76

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Solution

The fourth proportional to 2,029.13, 2,800.04 and 1,144.76 is: 1,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.13 : 2,800.04 = 1,144.76 : x
  2. Step 2: Convert to fraction form
    2,029.13/2,800.04 = 1,144.76/x
  3. Step 3: Cross multiply
    2,029.13x = 2,800.04 × 1,144.76
  4. Step 4: Simplify right side
    2,029.13x = 3,205,371.60
  5. Step 5: Solve for x
    x = 3,205,371.60/2,029.13
  6. Step 6: Final answer
    x = 1,579.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.