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Finding the Fourth Proportional to 2,666.36, 4,001.16 and 2,446.04

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Solution

The fourth proportional to 2,666.36, 4,001.16 and 2,446.04 is: 3,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.36 : 4,001.16 = 2,446.04 : x
  2. Step 2: Convert to fraction form
    2,666.36/4,001.16 = 2,446.04/x
  3. Step 3: Cross multiply
    2,666.36x = 4,001.16 × 2,446.04
  4. Step 4: Simplify right side
    2,666.36x = 9,786,997.41
  5. Step 5: Solve for x
    x = 9,786,997.41/2,666.36
  6. Step 6: Final answer
    x = 3,670.55

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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.