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Finding the Fourth Proportional to 2,216.04, 3,322.95 and 754.68

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Solution

The fourth proportional to 2,216.04, 3,322.95 and 754.68 is: 1,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.04 : 3,322.95 = 754.68 : x
  2. Step 2: Convert to fraction form
    2,216.04/3,322.95 = 754.68/x
  3. Step 3: Cross multiply
    2,216.04x = 3,322.95 × 754.68
  4. Step 4: Simplify right side
    2,216.04x = 2,507,763.91
  5. Step 5: Solve for x
    x = 2,507,763.91/2,216.04
  6. Step 6: Final answer
    x = 1,131.64

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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.