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Finding the Fourth Proportional to 2,795.12, 3,857.16 and 1,553.12

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Solution

The fourth proportional to 2,795.12, 3,857.16 and 1,553.12 is: 2,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.12 : 3,857.16 = 1,553.12 : x
  2. Step 2: Convert to fraction form
    2,795.12/3,857.16 = 1,553.12/x
  3. Step 3: Cross multiply
    2,795.12x = 3,857.16 × 1,553.12
  4. Step 4: Simplify right side
    2,795.12x = 5,990,632.34
  5. Step 5: Solve for x
    x = 5,990,632.34/2,795.12
  6. Step 6: Final answer
    x = 2,143.25

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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.