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Finding the Fourth Proportional to 1,236.04, 1,861.26 and 913.66

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Solution

The fourth proportional to 1,236.04, 1,861.26 and 913.66 is: 1,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.04 : 1,861.26 = 913.66 : x
  2. Step 2: Convert to fraction form
    1,236.04/1,861.26 = 913.66/x
  3. Step 3: Cross multiply
    1,236.04x = 1,861.26 × 913.66
  4. Step 4: Simplify right side
    1,236.04x = 1,700,558.81
  5. Step 5: Solve for x
    x = 1,700,558.81/1,236.04
  6. Step 6: Final answer
    x = 1,375.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.