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Finding the Fourth Proportional to 1,754.64, 2,632.23 and 831.11

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Solution

The fourth proportional to 1,754.64, 2,632.23 and 831.11 is: 1,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.64 : 2,632.23 = 831.11 : x
  2. Step 2: Convert to fraction form
    1,754.64/2,632.23 = 831.11/x
  3. Step 3: Cross multiply
    1,754.64x = 2,632.23 × 831.11
  4. Step 4: Simplify right side
    1,754.64x = 2,187,659.51
  5. Step 5: Solve for x
    x = 2,187,659.51/1,754.64
  6. Step 6: Final answer
    x = 1,246.79

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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.