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Finding the Fourth Proportional to 2,077.51, 3,101.07 and 1,831.47

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Solution

The fourth proportional to 2,077.51, 3,101.07 and 1,831.47 is: 2,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.51 : 3,101.07 = 1,831.47 : x
  2. Step 2: Convert to fraction form
    2,077.51/3,101.07 = 1,831.47/x
  3. Step 3: Cross multiply
    2,077.51x = 3,101.07 × 1,831.47
  4. Step 4: Simplify right side
    2,077.51x = 5,679,516.67
  5. Step 5: Solve for x
    x = 5,679,516.67/2,077.51
  6. Step 6: Final answer
    x = 2,733.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.