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Finding the Fourth Proportional to 3,201.16, 4,417.20 and 1,784.50

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Solution

The fourth proportional to 3,201.16, 4,417.20 and 1,784.50 is: 2,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.16 : 4,417.20 = 1,784.50 : x
  2. Step 2: Convert to fraction form
    3,201.16/4,417.20 = 1,784.50/x
  3. Step 3: Cross multiply
    3,201.16x = 4,417.20 × 1,784.50
  4. Step 4: Simplify right side
    3,201.16x = 7,882,493.40
  5. Step 5: Solve for x
    x = 7,882,493.40/3,201.16
  6. Step 6: Final answer
    x = 2,462.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.