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Finding the Fourth Proportional to 1,954.78, 2,697.42 and 1,115.62

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Solution

The fourth proportional to 1,954.78, 2,697.42 and 1,115.62 is: 1,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.78 : 2,697.42 = 1,115.62 : x
  2. Step 2: Convert to fraction form
    1,954.78/2,697.42 = 1,115.62/x
  3. Step 3: Cross multiply
    1,954.78x = 2,697.42 × 1,115.62
  4. Step 4: Simplify right side
    1,954.78x = 3,009,295.70
  5. Step 5: Solve for x
    x = 3,009,295.70/1,954.78
  6. Step 6: Final answer
    x = 1,539.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.