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Finding the Fourth Proportional to 1,665.18, 2,297.88 and 919.17

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Solution

The fourth proportional to 1,665.18, 2,297.88 and 919.17 is: 1,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.18 : 2,297.88 = 919.17 : x
  2. Step 2: Convert to fraction form
    1,665.18/2,297.88 = 919.17/x
  3. Step 3: Cross multiply
    1,665.18x = 2,297.88 × 919.17
  4. Step 4: Simplify right side
    1,665.18x = 2,112,142.36
  5. Step 5: Solve for x
    x = 2,112,142.36/1,665.18
  6. Step 6: Final answer
    x = 1,268.42

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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.