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Finding the Fourth Proportional to 2,443.68, 3,665.52 and 982.49

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Solution

The fourth proportional to 2,443.68, 3,665.52 and 982.49 is: 1,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.68 : 3,665.52 = 982.49 : x
  2. Step 2: Convert to fraction form
    2,443.68/3,665.52 = 982.49/x
  3. Step 3: Cross multiply
    2,443.68x = 3,665.52 × 982.49
  4. Step 4: Simplify right side
    2,443.68x = 3,601,336.74
  5. Step 5: Solve for x
    x = 3,601,336.74/2,443.68
  6. Step 6: Final answer
    x = 1,473.74

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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.