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Finding the Fourth Proportional to 2,503.68, 3,736.96 and 2,243.84

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Solution

The fourth proportional to 2,503.68, 3,736.96 and 2,243.84 is: 3,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.68 : 3,736.96 = 2,243.84 : x
  2. Step 2: Convert to fraction form
    2,503.68/3,736.96 = 2,243.84/x
  3. Step 3: Cross multiply
    2,503.68x = 3,736.96 × 2,243.84
  4. Step 4: Simplify right side
    2,503.68x = 8,385,140.33
  5. Step 5: Solve for x
    x = 8,385,140.33/2,503.68
  6. Step 6: Final answer
    x = 3,349.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.