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Finding the Fourth Proportional to 2,103.87, 3,155.58 and 933.90

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Solution

The fourth proportional to 2,103.87, 3,155.58 and 933.90 is: 1,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.87 : 3,155.58 = 933.90 : x
  2. Step 2: Convert to fraction form
    2,103.87/3,155.58 = 933.90/x
  3. Step 3: Cross multiply
    2,103.87x = 3,155.58 × 933.90
  4. Step 4: Simplify right side
    2,103.87x = 2,946,996.16
  5. Step 5: Solve for x
    x = 2,946,996.16/2,103.87
  6. Step 6: Final answer
    x = 1,400.75

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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.