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Finding the Fourth Proportional to 2,253.93, 3,381.06 and 610.49

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Solution

The fourth proportional to 2,253.93, 3,381.06 and 610.49 is: 915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.93 : 3,381.06 = 610.49 : x
  2. Step 2: Convert to fraction form
    2,253.93/3,381.06 = 610.49/x
  3. Step 3: Cross multiply
    2,253.93x = 3,381.06 × 610.49
  4. Step 4: Simplify right side
    2,253.93x = 2,064,086.41
  5. Step 5: Solve for x
    x = 2,064,086.41/2,253.93
  6. Step 6: Final answer
    x = 915.77

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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.