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Finding the Fourth Proportional to 2,201.47, 3,029.76 and 2,024.49

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Solution

The fourth proportional to 2,201.47, 3,029.76 and 2,024.49 is: 2,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.47 : 3,029.76 = 2,024.49 : x
  2. Step 2: Convert to fraction form
    2,201.47/3,029.76 = 2,024.49/x
  3. Step 3: Cross multiply
    2,201.47x = 3,029.76 × 2,024.49
  4. Step 4: Simplify right side
    2,201.47x = 6,133,703.67
  5. Step 5: Solve for x
    x = 6,133,703.67/2,201.47
  6. Step 6: Final answer
    x = 2,786.19

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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.