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Finding the Fourth Proportional to 1,831.50, 2,532.27 and 1,749.90

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Solution

The fourth proportional to 1,831.50, 2,532.27 and 1,749.90 is: 2,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.50 : 2,532.27 = 1,749.90 : x
  2. Step 2: Convert to fraction form
    1,831.50/2,532.27 = 1,749.90/x
  3. Step 3: Cross multiply
    1,831.50x = 2,532.27 × 1,749.90
  4. Step 4: Simplify right side
    1,831.50x = 4,431,219.27
  5. Step 5: Solve for x
    x = 4,431,219.27/1,831.50
  6. Step 6: Final answer
    x = 2,419.45

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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.