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Finding the Fourth Proportional to 3,089.83, 4,264.14 and 1,831.63

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Solution

The fourth proportional to 3,089.83, 4,264.14 and 1,831.63 is: 2,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.83 : 4,264.14 = 1,831.63 : x
  2. Step 2: Convert to fraction form
    3,089.83/4,264.14 = 1,831.63/x
  3. Step 3: Cross multiply
    3,089.83x = 4,264.14 × 1,831.63
  4. Step 4: Simplify right side
    3,089.83x = 7,810,326.75
  5. Step 5: Solve for x
    x = 7,810,326.75/3,089.83
  6. Step 6: Final answer
    x = 2,527.75

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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.