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Finding the Fourth Proportional to 1,831.08, 2,742 and 1,212.93

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Solution

The fourth proportional to 1,831.08, 2,742 and 1,212.93 is: 1,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.08 : 2,742 = 1,212.93 : x
  2. Step 2: Convert to fraction form
    1,831.08/2,742 = 1,212.93/x
  3. Step 3: Cross multiply
    1,831.08x = 2,742 × 1,212.93
  4. Step 4: Simplify right side
    1,831.08x = 3,325,854.06
  5. Step 5: Solve for x
    x = 3,325,854.06/1,831.08
  6. Step 6: Final answer
    x = 1,816.33

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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.