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Finding the Fourth Proportional to 1,831.61, 2,527.81 and 1,123.81

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Solution

The fourth proportional to 1,831.61, 2,527.81 and 1,123.81 is: 1,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.61 : 2,527.81 = 1,123.81 : x
  2. Step 2: Convert to fraction form
    1,831.61/2,527.81 = 1,123.81/x
  3. Step 3: Cross multiply
    1,831.61x = 2,527.81 × 1,123.81
  4. Step 4: Simplify right side
    1,831.61x = 2,840,769.03
  5. Step 5: Solve for x
    x = 2,840,769.03/1,831.61
  6. Step 6: Final answer
    x = 1,550.97

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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.