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Finding the Fourth Proportional to 2,138.98, 3,208.15 and 1,316.83

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Solution

The fourth proportional to 2,138.98, 3,208.15 and 1,316.83 is: 1,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.98 : 3,208.15 = 1,316.83 : x
  2. Step 2: Convert to fraction form
    2,138.98/3,208.15 = 1,316.83/x
  3. Step 3: Cross multiply
    2,138.98x = 3,208.15 × 1,316.83
  4. Step 4: Simplify right side
    2,138.98x = 4,224,588.16
  5. Step 5: Solve for x
    x = 4,224,588.16/2,138.98
  6. Step 6: Final answer
    x = 1,975.05

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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.