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Finding the Fourth Proportional to 2,412.63, 3,618.95 and 2,138.04

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Solution

The fourth proportional to 2,412.63, 3,618.95 and 2,138.04 is: 3,207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.63 : 3,618.95 = 2,138.04 : x
  2. Step 2: Convert to fraction form
    2,412.63/3,618.95 = 2,138.04/x
  3. Step 3: Cross multiply
    2,412.63x = 3,618.95 × 2,138.04
  4. Step 4: Simplify right side
    2,412.63x = 7,737,449.17
  5. Step 5: Solve for x
    x = 7,737,449.17/2,412.63
  6. Step 6: Final answer
    x = 3,207.06

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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.