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Finding the Fourth Proportional to 2,272.02, 3,407.64 and 606.17

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Solution

The fourth proportional to 2,272.02, 3,407.64 and 606.17 is: 909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.02 : 3,407.64 = 606.17 : x
  2. Step 2: Convert to fraction form
    2,272.02/3,407.64 = 606.17/x
  3. Step 3: Cross multiply
    2,272.02x = 3,407.64 × 606.17
  4. Step 4: Simplify right side
    2,272.02x = 2,065,596.22
  5. Step 5: Solve for x
    x = 2,065,596.22/2,272.02
  6. Step 6: Final answer
    x = 909.14

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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.