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Finding the Fourth Proportional to 1,954.80, 2,697.50 and 1,115.57

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Solution

The fourth proportional to 1,954.80, 2,697.50 and 1,115.57 is: 1,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.80 : 2,697.50 = 1,115.57 : x
  2. Step 2: Convert to fraction form
    1,954.80/2,697.50 = 1,115.57/x
  3. Step 3: Cross multiply
    1,954.80x = 2,697.50 × 1,115.57
  4. Step 4: Simplify right side
    1,954.80x = 3,009,250.08
  5. Step 5: Solve for x
    x = 3,009,250.08/1,954.80
  6. Step 6: Final answer
    x = 1,539.42

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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.