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Finding the Fourth Proportional to 2,083.82, 2,875.29 and 1,286.51

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Solution

The fourth proportional to 2,083.82, 2,875.29 and 1,286.51 is: 1,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.82 : 2,875.29 = 1,286.51 : x
  2. Step 2: Convert to fraction form
    2,083.82/2,875.29 = 1,286.51/x
  3. Step 3: Cross multiply
    2,083.82x = 2,875.29 × 1,286.51
  4. Step 4: Simplify right side
    2,083.82x = 3,699,070.14
  5. Step 5: Solve for x
    x = 3,699,070.14/2,083.82
  6. Step 6: Final answer
    x = 1,775.14

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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.