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Finding the Fourth Proportional to 1,954.90, 2,697.60 and 1,115.47

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Solution

The fourth proportional to 1,954.90, 2,697.60 and 1,115.47 is: 1,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.90 : 2,697.60 = 1,115.47 : x
  2. Step 2: Convert to fraction form
    1,954.90/2,697.60 = 1,115.47/x
  3. Step 3: Cross multiply
    1,954.90x = 2,697.60 × 1,115.47
  4. Step 4: Simplify right side
    1,954.90x = 3,009,091.87
  5. Step 5: Solve for x
    x = 3,009,091.87/1,954.90
  6. Step 6: Final answer
    x = 1,539.26

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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.