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Finding the Fourth Proportional to 2,831.18, 3,907.06 and 1,589.18

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Solution

The fourth proportional to 2,831.18, 3,907.06 and 1,589.18 is: 2,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.18 : 3,907.06 = 1,589.18 : x
  2. Step 2: Convert to fraction form
    2,831.18/3,907.06 = 1,589.18/x
  3. Step 3: Cross multiply
    2,831.18x = 3,907.06 × 1,589.18
  4. Step 4: Simplify right side
    2,831.18x = 6,209,021.61
  5. Step 5: Solve for x
    x = 6,209,021.61/2,831.18
  6. Step 6: Final answer
    x = 2,193.09

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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.