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Finding the Fourth Proportional to 2,138.85, 3,208.59 and 1,152.18

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Solution

The fourth proportional to 2,138.85, 3,208.59 and 1,152.18 is: 1,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.85 : 3,208.59 = 1,152.18 : x
  2. Step 2: Convert to fraction form
    2,138.85/3,208.59 = 1,152.18/x
  3. Step 3: Cross multiply
    2,138.85x = 3,208.59 × 1,152.18
  4. Step 4: Simplify right side
    2,138.85x = 3,696,873.23
  5. Step 5: Solve for x
    x = 3,696,873.23/2,138.85
  6. Step 6: Final answer
    x = 1,728.44

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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.