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Finding the Fourth Proportional to 1,665.14, 2,297.88 and 919.06

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Solution

The fourth proportional to 1,665.14, 2,297.88 and 919.06 is: 1,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.14 : 2,297.88 = 919.06 : x
  2. Step 2: Convert to fraction form
    1,665.14/2,297.88 = 919.06/x
  3. Step 3: Cross multiply
    1,665.14x = 2,297.88 × 919.06
  4. Step 4: Simplify right side
    1,665.14x = 2,111,883.85
  5. Step 5: Solve for x
    x = 2,111,883.85/1,665.14
  6. Step 6: Final answer
    x = 1,268.30

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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.