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Finding the Fourth Proportional to 3,203.58, 4,420.76 and 1,787.42

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Solution

The fourth proportional to 3,203.58, 4,420.76 and 1,787.42 is: 2,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.58 : 4,420.76 = 1,787.42 : x
  2. Step 2: Convert to fraction form
    3,203.58/4,420.76 = 1,787.42/x
  3. Step 3: Cross multiply
    3,203.58x = 4,420.76 × 1,787.42
  4. Step 4: Simplify right side
    3,203.58x = 7,901,723.80
  5. Step 5: Solve for x
    x = 7,901,723.80/3,203.58
  6. Step 6: Final answer
    x = 2,466.53

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1.5x scale

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.