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Finding the Fourth Proportional to 1,617.78, 2,232.24 and 919.02

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Solution

The fourth proportional to 1,617.78, 2,232.24 and 919.02 is: 1,268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.78 : 2,232.24 = 919.02 : x
  2. Step 2: Convert to fraction form
    1,617.78/2,232.24 = 919.02/x
  3. Step 3: Cross multiply
    1,617.78x = 2,232.24 × 919.02
  4. Step 4: Simplify right side
    1,617.78x = 2,051,473.20
  5. Step 5: Solve for x
    x = 2,051,473.20/1,617.78
  6. Step 6: Final answer
    x = 1,268.08

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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.