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Finding the Fourth Proportional to 2,292.76, 3,440.81 and 832.03

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Solution

The fourth proportional to 2,292.76, 3,440.81 and 832.03 is: 1,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.76 : 3,440.81 = 832.03 : x
  2. Step 2: Convert to fraction form
    2,292.76/3,440.81 = 832.03/x
  3. Step 3: Cross multiply
    2,292.76x = 3,440.81 × 832.03
  4. Step 4: Simplify right side
    2,292.76x = 2,862,857.14
  5. Step 5: Solve for x
    x = 2,862,857.14/2,292.76
  6. Step 6: Final answer
    x = 1,248.65

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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.