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Finding the Fourth Proportional to 2,831.99, 3,907.05 and 2,087.72

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Solution

The fourth proportional to 2,831.99, 3,907.05 and 2,087.72 is: 2,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.99 : 3,907.05 = 2,087.72 : x
  2. Step 2: Convert to fraction form
    2,831.99/3,907.05 = 2,087.72/x
  3. Step 3: Cross multiply
    2,831.99x = 3,907.05 × 2,087.72
  4. Step 4: Simplify right side
    2,831.99x = 8,156,806.89
  5. Step 5: Solve for x
    x = 8,156,806.89/2,831.99
  6. Step 6: Final answer
    x = 2,880.24

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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.