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Finding the Fourth Proportional to 2,158.06, 3,236.28 and 1,003

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Solution

The fourth proportional to 2,158.06, 3,236.28 and 1,003 is: 1,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.06 : 3,236.28 = 1,003 : x
  2. Step 2: Convert to fraction form
    2,158.06/3,236.28 = 1,003/x
  3. Step 3: Cross multiply
    2,158.06x = 3,236.28 × 1,003
  4. Step 4: Simplify right side
    2,158.06x = 3,245,988.84
  5. Step 5: Solve for x
    x = 3,245,988.84/2,158.06
  6. Step 6: Final answer
    x = 1,504.12

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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.