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Finding the Fourth Proportional to 1,831.91, 2,528.04 and 992.61

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Solution

The fourth proportional to 1,831.91, 2,528.04 and 992.61 is: 1,369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.91 : 2,528.04 = 992.61 : x
  2. Step 2: Convert to fraction form
    1,831.91/2,528.04 = 992.61/x
  3. Step 3: Cross multiply
    1,831.91x = 2,528.04 × 992.61
  4. Step 4: Simplify right side
    1,831.91x = 2,509,357.78
  5. Step 5: Solve for x
    x = 2,509,357.78/1,831.91
  6. Step 6: Final answer
    x = 1,369.80

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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.