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Finding the Fourth Proportional to 1,240.70, 1,861.05 and 949.10

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Solution

The fourth proportional to 1,240.70, 1,861.05 and 949.10 is: 1,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.70 : 1,861.05 = 949.10 : x
  2. Step 2: Convert to fraction form
    1,240.70/1,861.05 = 949.10/x
  3. Step 3: Cross multiply
    1,240.70x = 1,861.05 × 949.10
  4. Step 4: Simplify right side
    1,240.70x = 1,766,322.56
  5. Step 5: Solve for x
    x = 1,766,322.56/1,240.70
  6. Step 6: Final answer
    x = 1,423.65

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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.