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Finding the Fourth Proportional to 2,094.24, 3,140.72 and 725.92

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Solution

The fourth proportional to 2,094.24, 3,140.72 and 725.92 is: 1,088.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.24 : 3,140.72 = 725.92 : x
  2. Step 2: Convert to fraction form
    2,094.24/3,140.72 = 725.92/x
  3. Step 3: Cross multiply
    2,094.24x = 3,140.72 × 725.92
  4. Step 4: Simplify right side
    2,094.24x = 2,279,911.46
  5. Step 5: Solve for x
    x = 2,279,911.46/2,094.24
  6. Step 6: Final answer
    x = 1,088.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.