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Finding the Fourth Proportional to 2,443.74, 3,665.67 and 2,094.90

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Solution

The fourth proportional to 2,443.74, 3,665.67 and 2,094.90 is: 3,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.74 : 3,665.67 = 2,094.90 : x
  2. Step 2: Convert to fraction form
    2,443.74/3,665.67 = 2,094.90/x
  3. Step 3: Cross multiply
    2,443.74x = 3,665.67 × 2,094.90
  4. Step 4: Simplify right side
    2,443.74x = 7,679,212.08
  5. Step 5: Solve for x
    x = 7,679,212.08/2,443.74
  6. Step 6: Final answer
    x = 3,142.40

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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.