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Finding the Fourth Proportional to 2,817.68, 4,223.64 and 1,831.10

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Solution

The fourth proportional to 2,817.68, 4,223.64 and 1,831.10 is: 2,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.68 : 4,223.64 = 1,831.10 : x
  2. Step 2: Convert to fraction form
    2,817.68/4,223.64 = 1,831.10/x
  3. Step 3: Cross multiply
    2,817.68x = 4,223.64 × 1,831.10
  4. Step 4: Simplify right side
    2,817.68x = 7,733,907.20
  5. Step 5: Solve for x
    x = 7,733,907.20/2,817.68
  6. Step 6: Final answer
    x = 2,744.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.