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Finding the Fourth Proportional to 2,458.90, 3,685.56 and 996.22

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Solution

The fourth proportional to 2,458.90, 3,685.56 and 996.22 is: 1,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.90 : 3,685.56 = 996.22 : x
  2. Step 2: Convert to fraction form
    2,458.90/3,685.56 = 996.22/x
  3. Step 3: Cross multiply
    2,458.90x = 3,685.56 × 996.22
  4. Step 4: Simplify right side
    2,458.90x = 3,671,628.58
  5. Step 5: Solve for x
    x = 3,671,628.58/2,458.90
  6. Step 6: Final answer
    x = 1,493.20

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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.