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Finding the Fourth Proportional to 2,285.78, 3,154.36 and 1,237.84

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Solution

The fourth proportional to 2,285.78, 3,154.36 and 1,237.84 is: 1,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.78 : 3,154.36 = 1,237.84 : x
  2. Step 2: Convert to fraction form
    2,285.78/3,154.36 = 1,237.84/x
  3. Step 3: Cross multiply
    2,285.78x = 3,154.36 × 1,237.84
  4. Step 4: Simplify right side
    2,285.78x = 3,904,592.98
  5. Step 5: Solve for x
    x = 3,904,592.98/2,285.78
  6. Step 6: Final answer
    x = 1,708.21

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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.