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Finding the Fourth Proportional to 2,230.72, 3,078.36 and 1,235.99

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Solution

The fourth proportional to 2,230.72, 3,078.36 and 1,235.99 is: 1,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.72 : 3,078.36 = 1,235.99 : x
  2. Step 2: Convert to fraction form
    2,230.72/3,078.36 = 1,235.99/x
  3. Step 3: Cross multiply
    2,230.72x = 3,078.36 × 1,235.99
  4. Step 4: Simplify right side
    2,230.72x = 3,804,829.87
  5. Step 5: Solve for x
    x = 3,804,829.87/2,230.72
  6. Step 6: Final answer
    x = 1,705.65

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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.