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Finding the Fourth Proportional to 1,665.03, 2,297.78 and 919

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Solution

The fourth proportional to 1,665.03, 2,297.78 and 919 is: 1,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.03 : 2,297.78 = 919 : x
  2. Step 2: Convert to fraction form
    1,665.03/2,297.78 = 919/x
  3. Step 3: Cross multiply
    1,665.03x = 2,297.78 × 919
  4. Step 4: Simplify right side
    1,665.03x = 2,111,659.82
  5. Step 5: Solve for x
    x = 2,111,659.82/1,665.03
  6. Step 6: Final answer
    x = 1,268.24

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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.