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Finding the Fourth Proportional to 2,071.06, 3,107.25 and 610.22

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Solution

The fourth proportional to 2,071.06, 3,107.25 and 610.22 is: 915.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.06 : 3,107.25 = 610.22 : x
  2. Step 2: Convert to fraction form
    2,071.06/3,107.25 = 610.22/x
  3. Step 3: Cross multiply
    2,071.06x = 3,107.25 × 610.22
  4. Step 4: Simplify right side
    2,071.06x = 1,896,113.86
  5. Step 5: Solve for x
    x = 1,896,113.86/2,071.06
  6. Step 6: Final answer
    x = 915.53

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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.