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Finding the Fourth Proportional to 1,648.23, 2,274.42 and 940.10

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Solution

The fourth proportional to 1,648.23, 2,274.42 and 940.10 is: 1,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.23 : 2,274.42 = 940.10 : x
  2. Step 2: Convert to fraction form
    1,648.23/2,274.42 = 940.10/x
  3. Step 3: Cross multiply
    1,648.23x = 2,274.42 × 940.10
  4. Step 4: Simplify right side
    1,648.23x = 2,138,170.87
  5. Step 5: Solve for x
    x = 2,138,170.87/1,648.23
  6. Step 6: Final answer
    x = 1,297.25

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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.