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Finding the Fourth Proportional to 3,431.49, 5,148.96 and 1,352.98

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Solution

The fourth proportional to 3,431.49, 5,148.96 and 1,352.98 is: 2,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.49 : 5,148.96 = 1,352.98 : x
  2. Step 2: Convert to fraction form
    3,431.49/5,148.96 = 1,352.98/x
  3. Step 3: Cross multiply
    3,431.49x = 5,148.96 × 1,352.98
  4. Step 4: Simplify right side
    3,431.49x = 6,966,441.26
  5. Step 5: Solve for x
    x = 6,966,441.26/3,431.49
  6. Step 6: Final answer
    x = 2,030.15

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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.