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Finding the Fourth Proportional to 3,247.48, 4,871.22 and 1,602.37

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Solution

The fourth proportional to 3,247.48, 4,871.22 and 1,602.37 is: 2,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.48 : 4,871.22 = 1,602.37 : x
  2. Step 2: Convert to fraction form
    3,247.48/4,871.22 = 1,602.37/x
  3. Step 3: Cross multiply
    3,247.48x = 4,871.22 × 1,602.37
  4. Step 4: Simplify right side
    3,247.48x = 7,805,496.79
  5. Step 5: Solve for x
    x = 7,805,496.79/3,247.48
  6. Step 6: Final answer
    x = 2,403.56

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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.