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Finding the Fourth Proportional to 2,254.41, 3,381.62 and 610.97

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Solution

The fourth proportional to 2,254.41, 3,381.62 and 610.97 is: 916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.41 : 3,381.62 = 610.97 : x
  2. Step 2: Convert to fraction form
    2,254.41/3,381.62 = 610.97/x
  3. Step 3: Cross multiply
    2,254.41x = 3,381.62 × 610.97
  4. Step 4: Simplify right side
    2,254.41x = 2,066,048.41
  5. Step 5: Solve for x
    x = 2,066,048.41/2,254.41
  6. Step 6: Final answer
    x = 916.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.