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Finding the Fourth Proportional to 3,220.40, 4,444.08 and 1,823.12

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Solution

The fourth proportional to 3,220.40, 4,444.08 and 1,823.12 is: 2,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.40 : 4,444.08 = 1,823.12 : x
  2. Step 2: Convert to fraction form
    3,220.40/4,444.08 = 1,823.12/x
  3. Step 3: Cross multiply
    3,220.40x = 4,444.08 × 1,823.12
  4. Step 4: Simplify right side
    3,220.40x = 8,102,091.13
  5. Step 5: Solve for x
    x = 8,102,091.13/3,220.40
  6. Step 6: Final answer
    x = 2,515.86

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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.