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Finding the Fourth Proportional to 3,200.42, 4,417 and 1,803.44

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Solution

The fourth proportional to 3,200.42, 4,417 and 1,803.44 is: 2,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.42 : 4,417 = 1,803.44 : x
  2. Step 2: Convert to fraction form
    3,200.42/4,417 = 1,803.44/x
  3. Step 3: Cross multiply
    3,200.42x = 4,417 × 1,803.44
  4. Step 4: Simplify right side
    3,200.42x = 7,965,794.48
  5. Step 5: Solve for x
    x = 7,965,794.48/3,200.42
  6. Step 6: Final answer
    x = 2,488.98

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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.