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Finding the Fourth Proportional to 1,831.92, 2,529.24 and 1,211.28

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Solution

The fourth proportional to 1,831.92, 2,529.24 and 1,211.28 is: 1,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.92 : 2,529.24 = 1,211.28 : x
  2. Step 2: Convert to fraction form
    1,831.92/2,529.24 = 1,211.28/x
  3. Step 3: Cross multiply
    1,831.92x = 2,529.24 × 1,211.28
  4. Step 4: Simplify right side
    1,831.92x = 3,063,617.83
  5. Step 5: Solve for x
    x = 3,063,617.83/1,831.92
  6. Step 6: Final answer
    x = 1,672.35

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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.