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Finding the Fourth Proportional to 2,090.66, 3,117.71 and 1,831.86

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Solution

The fourth proportional to 2,090.66, 3,117.71 and 1,831.86 is: 2,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.66 : 3,117.71 = 1,831.86 : x
  2. Step 2: Convert to fraction form
    2,090.66/3,117.71 = 1,831.86/x
  3. Step 3: Cross multiply
    2,090.66x = 3,117.71 × 1,831.86
  4. Step 4: Simplify right side
    2,090.66x = 5,711,212.82
  5. Step 5: Solve for x
    x = 5,711,212.82/2,090.66
  6. Step 6: Final answer
    x = 2,731.78

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