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Finding the Fourth Proportional to 2,230.52, 3,077.94 and 1,235.78

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Solution

The fourth proportional to 2,230.52, 3,077.94 and 1,235.78 is: 1,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.52 : 3,077.94 = 1,235.78 : x
  2. Step 2: Convert to fraction form
    2,230.52/3,077.94 = 1,235.78/x
  3. Step 3: Cross multiply
    2,230.52x = 3,077.94 × 1,235.78
  4. Step 4: Simplify right side
    2,230.52x = 3,803,656.69
  5. Step 5: Solve for x
    x = 3,803,656.69/2,230.52
  6. Step 6: Final answer
    x = 1,705.28

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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.