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Finding the Fourth Proportional to 2,017.17, 3,024.78 and 846.84

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Solution

The fourth proportional to 2,017.17, 3,024.78 and 846.84 is: 1,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.17 : 3,024.78 = 846.84 : x
  2. Step 2: Convert to fraction form
    2,017.17/3,024.78 = 846.84/x
  3. Step 3: Cross multiply
    2,017.17x = 3,024.78 × 846.84
  4. Step 4: Simplify right side
    2,017.17x = 2,561,504.70
  5. Step 5: Solve for x
    x = 2,561,504.70/2,017.17
  6. Step 6: Final answer
    x = 1,269.85

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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.