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Finding the Fourth Proportional to 1,831.88, 2,528.26 and 1,123.76

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Solution

The fourth proportional to 1,831.88, 2,528.26 and 1,123.76 is: 1,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.88 : 2,528.26 = 1,123.76 : x
  2. Step 2: Convert to fraction form
    1,831.88/2,528.26 = 1,123.76/x
  3. Step 3: Cross multiply
    1,831.88x = 2,528.26 × 1,123.76
  4. Step 4: Simplify right side
    1,831.88x = 2,841,160.97
  5. Step 5: Solve for x
    x = 2,841,160.97/1,831.88
  6. Step 6: Final answer
    x = 1,550.95

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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.