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Finding the Fourth Proportional to 2,457.47, 3,686.24 and 996.29

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Solution

The fourth proportional to 2,457.47, 3,686.24 and 996.29 is: 1,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.47 : 3,686.24 = 996.29 : x
  2. Step 2: Convert to fraction form
    2,457.47/3,686.24 = 996.29/x
  3. Step 3: Cross multiply
    2,457.47x = 3,686.24 × 996.29
  4. Step 4: Simplify right side
    2,457.47x = 3,672,540.64
  5. Step 5: Solve for x
    x = 3,672,540.64/2,457.47
  6. Step 6: Final answer
    x = 1,494.44

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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.