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Finding the Fourth Proportional to 2,299.48, 3,449.24 and 838.06

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Solution

The fourth proportional to 2,299.48, 3,449.24 and 838.06 is: 1,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.48 : 3,449.24 = 838.06 : x
  2. Step 2: Convert to fraction form
    2,299.48/3,449.24 = 838.06/x
  3. Step 3: Cross multiply
    2,299.48x = 3,449.24 × 838.06
  4. Step 4: Simplify right side
    2,299.48x = 2,890,670.07
  5. Step 5: Solve for x
    x = 2,890,670.07/2,299.48
  6. Step 6: Final answer
    x = 1,257.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.