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Finding the Fourth Proportional to 3,267.36, 4,900.98 and 1,319.52

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Solution

The fourth proportional to 3,267.36, 4,900.98 and 1,319.52 is: 1,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.36 : 4,900.98 = 1,319.52 : x
  2. Step 2: Convert to fraction form
    3,267.36/4,900.98 = 1,319.52/x
  3. Step 3: Cross multiply
    3,267.36x = 4,900.98 × 1,319.52
  4. Step 4: Simplify right side
    3,267.36x = 6,466,941.13
  5. Step 5: Solve for x
    x = 6,466,941.13/3,267.36
  6. Step 6: Final answer
    x = 1,979.26

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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.