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Finding the Fourth Proportional to 2,397.99, 3,596.97 and 938.16

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Solution

The fourth proportional to 2,397.99, 3,596.97 and 938.16 is: 1,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.99 : 3,596.97 = 938.16 : x
  2. Step 2: Convert to fraction form
    2,397.99/3,596.97 = 938.16/x
  3. Step 3: Cross multiply
    2,397.99x = 3,596.97 × 938.16
  4. Step 4: Simplify right side
    2,397.99x = 3,374,533.38
  5. Step 5: Solve for x
    x = 3,374,533.38/2,397.99
  6. Step 6: Final answer
    x = 1,407.23

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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.