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Finding the Fourth Proportional to 1,486.06, 2,231.11 and 837.25

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Solution

The fourth proportional to 1,486.06, 2,231.11 and 837.25 is: 1,257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.06 : 2,231.11 = 837.25 : x
  2. Step 2: Convert to fraction form
    1,486.06/2,231.11 = 837.25/x
  3. Step 3: Cross multiply
    1,486.06x = 2,231.11 × 837.25
  4. Step 4: Simplify right side
    1,486.06x = 1,867,985.69
  5. Step 5: Solve for x
    x = 1,867,985.69/1,486.06
  6. Step 6: Final answer
    x = 1,257.01

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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.