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Finding the Fourth Proportional to 2,020.18, 3,029.28 and 849.84

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Solution

The fourth proportional to 2,020.18, 3,029.28 and 849.84 is: 1,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.18 : 3,029.28 = 849.84 : x
  2. Step 2: Convert to fraction form
    2,020.18/3,029.28 = 849.84/x
  3. Step 3: Cross multiply
    2,020.18x = 3,029.28 × 849.84
  4. Step 4: Simplify right side
    2,020.18x = 2,574,403.32
  5. Step 5: Solve for x
    x = 2,574,403.32/2,020.18
  6. Step 6: Final answer
    x = 1,274.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.