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Finding the Fourth Proportional to 3,201.84, 4,803.48 and 2,389.77

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Solution

The fourth proportional to 3,201.84, 4,803.48 and 2,389.77 is: 3,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.84 : 4,803.48 = 2,389.77 : x
  2. Step 2: Convert to fraction form
    3,201.84/4,803.48 = 2,389.77/x
  3. Step 3: Cross multiply
    3,201.84x = 4,803.48 × 2,389.77
  4. Step 4: Simplify right side
    3,201.84x = 11,479,212.40
  5. Step 5: Solve for x
    x = 11,479,212.40/3,201.84
  6. Step 6: Final answer
    x = 3,585.19

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Why These Related Problems?

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