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Finding the Fourth Proportional to 1,603.24, 2,212.08 and 940.12

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Solution

The fourth proportional to 1,603.24, 2,212.08 and 940.12 is: 1,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.24 : 2,212.08 = 940.12 : x
  2. Step 2: Convert to fraction form
    1,603.24/2,212.08 = 940.12/x
  3. Step 3: Cross multiply
    1,603.24x = 2,212.08 × 940.12
  4. Step 4: Simplify right side
    1,603.24x = 2,079,620.65
  5. Step 5: Solve for x
    x = 2,079,620.65/1,603.24
  6. Step 6: Final answer
    x = 1,297.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.