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Finding the Fourth Proportional to 1,665.29, 2,298.09 and 919.25

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Solution

The fourth proportional to 1,665.29, 2,298.09 and 919.25 is: 1,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.29 : 2,298.09 = 919.25 : x
  2. Step 2: Convert to fraction form
    1,665.29/2,298.09 = 919.25/x
  3. Step 3: Cross multiply
    1,665.29x = 2,298.09 × 919.25
  4. Step 4: Simplify right side
    1,665.29x = 2,112,519.23
  5. Step 5: Solve for x
    x = 2,112,519.23/1,665.29
  6. Step 6: Final answer
    x = 1,268.56

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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.