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Finding the Fourth Proportional to 2,297.21, 3,447.02 and 1,752.68

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Solution

The fourth proportional to 2,297.21, 3,447.02 and 1,752.68 is: 2,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.21 : 3,447.02 = 1,752.68 : x
  2. Step 2: Convert to fraction form
    2,297.21/3,447.02 = 1,752.68/x
  3. Step 3: Cross multiply
    2,297.21x = 3,447.02 × 1,752.68
  4. Step 4: Simplify right side
    2,297.21x = 6,041,536.01
  5. Step 5: Solve for x
    x = 6,041,536.01/2,297.21
  6. Step 6: Final answer
    x = 2,629.95

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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.