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Finding the Fourth Proportional to 1,549.02, 2,137.28 and 919.24

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Solution

The fourth proportional to 1,549.02, 2,137.28 and 919.24 is: 1,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.02 : 2,137.28 = 919.24 : x
  2. Step 2: Convert to fraction form
    1,549.02/2,137.28 = 919.24/x
  3. Step 3: Cross multiply
    1,549.02x = 2,137.28 × 919.24
  4. Step 4: Simplify right side
    1,549.02x = 1,964,673.27
  5. Step 5: Solve for x
    x = 1,964,673.27/1,549.02
  6. Step 6: Final answer
    x = 1,268.33

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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.