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Finding the Fourth Proportional to 2,071.15, 3,106.62 and 610.25

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Solution

The fourth proportional to 2,071.15, 3,106.62 and 610.25 is: 915.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.15 : 3,106.62 = 610.25 : x
  2. Step 2: Convert to fraction form
    2,071.15/3,106.62 = 610.25/x
  3. Step 3: Cross multiply
    2,071.15x = 3,106.62 × 610.25
  4. Step 4: Simplify right side
    2,071.15x = 1,895,799.32
  5. Step 5: Solve for x
    x = 1,895,799.32/2,071.15
  6. Step 6: Final answer
    x = 915.34

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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.