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Finding the Fourth Proportional to 3,248.31, 4,871.01 and 1,604.19

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Solution

The fourth proportional to 3,248.31, 4,871.01 and 1,604.19 is: 2,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.31 : 4,871.01 = 1,604.19 : x
  2. Step 2: Convert to fraction form
    3,248.31/4,871.01 = 1,604.19/x
  3. Step 3: Cross multiply
    3,248.31x = 4,871.01 × 1,604.19
  4. Step 4: Simplify right side
    3,248.31x = 7,814,025.53
  5. Step 5: Solve for x
    x = 7,814,025.53/3,248.31
  6. Step 6: Final answer
    x = 2,405.57

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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.