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Finding the Fourth Proportional to 3,399.84, 5,100.57 and 1,319.90

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Solution

The fourth proportional to 3,399.84, 5,100.57 and 1,319.90 is: 1,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.84 : 5,100.57 = 1,319.90 : x
  2. Step 2: Convert to fraction form
    3,399.84/5,100.57 = 1,319.90/x
  3. Step 3: Cross multiply
    3,399.84x = 5,100.57 × 1,319.90
  4. Step 4: Simplify right side
    3,399.84x = 6,732,216.84
  5. Step 5: Solve for x
    x = 6,732,216.84/3,399.84
  6. Step 6: Final answer
    x = 1,980.16

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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.