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Finding the Fourth Proportional to 2,032.76, 2,804.82 and 1,286.84

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Solution

The fourth proportional to 2,032.76, 2,804.82 and 1,286.84 is: 1,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.76 : 2,804.82 = 1,286.84 : x
  2. Step 2: Convert to fraction form
    2,032.76/2,804.82 = 1,286.84/x
  3. Step 3: Cross multiply
    2,032.76x = 2,804.82 × 1,286.84
  4. Step 4: Simplify right side
    2,032.76x = 3,609,354.57
  5. Step 5: Solve for x
    x = 3,609,354.57/2,032.76
  6. Step 6: Final answer
    x = 1,775.59

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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.