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Finding the Fourth Proportional to 2,017.87, 3,027 and 785.38

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Solution

The fourth proportional to 2,017.87, 3,027 and 785.38 is: 1,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.87 : 3,027 = 785.38 : x
  2. Step 2: Convert to fraction form
    2,017.87/3,027 = 785.38/x
  3. Step 3: Cross multiply
    2,017.87x = 3,027 × 785.38
  4. Step 4: Simplify right side
    2,017.87x = 2,377,345.26
  5. Step 5: Solve for x
    x = 2,377,345.26/2,017.87
  6. Step 6: Final answer
    x = 1,178.15

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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.