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Finding the Fourth Proportional to 3,090.69, 4,265.73 and 1,831.95

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Solution

The fourth proportional to 3,090.69, 4,265.73 and 1,831.95 is: 2,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.69 : 4,265.73 = 1,831.95 : x
  2. Step 2: Convert to fraction form
    3,090.69/4,265.73 = 1,831.95/x
  3. Step 3: Cross multiply
    3,090.69x = 4,265.73 × 1,831.95
  4. Step 4: Simplify right side
    3,090.69x = 7,814,604.07
  5. Step 5: Solve for x
    x = 7,814,604.07/3,090.69
  6. Step 6: Final answer
    x = 2,528.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.