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Finding the Fourth Proportional to 2,204.75, 3,307.93 and 1,589.15

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Solution

The fourth proportional to 2,204.75, 3,307.93 and 1,589.15 is: 2,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.75 : 3,307.93 = 1,589.15 : x
  2. Step 2: Convert to fraction form
    2,204.75/3,307.93 = 1,589.15/x
  3. Step 3: Cross multiply
    2,204.75x = 3,307.93 × 1,589.15
  4. Step 4: Simplify right side
    2,204.75x = 5,256,776.45
  5. Step 5: Solve for x
    x = 5,256,776.45/2,204.75
  6. Step 6: Final answer
    x = 2,384.30

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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.