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Finding the Fourth Proportional to 3,089.85, 4,264.53 and 1,831.61

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Solution

The fourth proportional to 3,089.85, 4,264.53 and 1,831.61 is: 2,527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.85 : 4,264.53 = 1,831.61 : x
  2. Step 2: Convert to fraction form
    3,089.85/4,264.53 = 1,831.61/x
  3. Step 3: Cross multiply
    3,089.85x = 4,264.53 × 1,831.61
  4. Step 4: Simplify right side
    3,089.85x = 7,810,966.45
  5. Step 5: Solve for x
    x = 7,810,966.45/3,089.85
  6. Step 6: Final answer
    x = 2,527.94

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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.