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Finding the Fourth Proportional to 3,220.35, 4,444.07 and 1,823.10

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Solution

The fourth proportional to 3,220.35, 4,444.07 and 1,823.10 is: 2,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.35 : 4,444.07 = 1,823.10 : x
  2. Step 2: Convert to fraction form
    3,220.35/4,444.07 = 1,823.10/x
  3. Step 3: Cross multiply
    3,220.35x = 4,444.07 × 1,823.10
  4. Step 4: Simplify right side
    3,220.35x = 8,101,974.90
  5. Step 5: Solve for x
    x = 8,101,974.90/3,220.35
  6. Step 6: Final answer
    x = 2,515.87

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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.