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Finding the Fourth Proportional to 2,072.06, 2,859.15 and 1,187.90

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Solution

The fourth proportional to 2,072.06, 2,859.15 and 1,187.90 is: 1,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.06 : 2,859.15 = 1,187.90 : x
  2. Step 2: Convert to fraction form
    2,072.06/2,859.15 = 1,187.90/x
  3. Step 3: Cross multiply
    2,072.06x = 2,859.15 × 1,187.90
  4. Step 4: Simplify right side
    2,072.06x = 3,396,384.29
  5. Step 5: Solve for x
    x = 3,396,384.29/2,072.06
  6. Step 6: Final answer
    x = 1,639.13

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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.