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Finding the Fourth Proportional to 2,107.66, 2,908.65 and 1,211.57

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Solution

The fourth proportional to 2,107.66, 2,908.65 and 1,211.57 is: 1,672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.66 : 2,908.65 = 1,211.57 : x
  2. Step 2: Convert to fraction form
    2,107.66/2,908.65 = 1,211.57/x
  3. Step 3: Cross multiply
    2,107.66x = 2,908.65 × 1,211.57
  4. Step 4: Simplify right side
    2,107.66x = 3,524,026.87
  5. Step 5: Solve for x
    x = 3,524,026.87/2,107.66
  6. Step 6: Final answer
    x = 1,672.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.