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Finding the Fourth Proportional to 2,669.57, 4,005.57 and 1,371.14

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Solution

The fourth proportional to 2,669.57, 4,005.57 and 1,371.14 is: 2,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.57 : 4,005.57 = 1,371.14 : x
  2. Step 2: Convert to fraction form
    2,669.57/4,005.57 = 1,371.14/x
  3. Step 3: Cross multiply
    2,669.57x = 4,005.57 × 1,371.14
  4. Step 4: Simplify right side
    2,669.57x = 5,492,197.25
  5. Step 5: Solve for x
    x = 5,492,197.25/2,669.57
  6. Step 6: Final answer
    x = 2,057.33

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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.