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Finding the Fourth Proportional to 2,877.82, 4,317.41 and 1,028.79

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Solution

The fourth proportional to 2,877.82, 4,317.41 and 1,028.79 is: 1,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.82 : 4,317.41 = 1,028.79 : x
  2. Step 2: Convert to fraction form
    2,877.82/4,317.41 = 1,028.79/x
  3. Step 3: Cross multiply
    2,877.82x = 4,317.41 × 1,028.79
  4. Step 4: Simplify right side
    2,877.82x = 4,441,710.81
  5. Step 5: Solve for x
    x = 4,441,710.81/2,877.82
  6. Step 6: Final answer
    x = 1,543.43

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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.