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Finding the Fourth Proportional to 2,666.16, 3,997.86 and 1,204.51

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Solution

The fourth proportional to 2,666.16, 3,997.86 and 1,204.51 is: 1,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.16 : 3,997.86 = 1,204.51 : x
  2. Step 2: Convert to fraction form
    2,666.16/3,997.86 = 1,204.51/x
  3. Step 3: Cross multiply
    2,666.16x = 3,997.86 × 1,204.51
  4. Step 4: Simplify right side
    2,666.16x = 4,815,462.35
  5. Step 5: Solve for x
    x = 4,815,462.35/2,666.16
  6. Step 6: Final answer
    x = 1,806.14

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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.