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Finding the Fourth Proportional to 2,254.02, 3,380.76 and 610.70

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Solution

The fourth proportional to 2,254.02, 3,380.76 and 610.70 is: 915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.02 : 3,380.76 = 610.70 : x
  2. Step 2: Convert to fraction form
    2,254.02/3,380.76 = 610.70/x
  3. Step 3: Cross multiply
    2,254.02x = 3,380.76 × 610.70
  4. Step 4: Simplify right side
    2,254.02x = 2,064,630.13
  5. Step 5: Solve for x
    x = 2,064,630.13/2,254.02
  6. Step 6: Final answer
    x = 915.98

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