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Finding the Fourth Proportional to 3,323.54, 4,586.68 and 1,831.45

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Solution

The fourth proportional to 3,323.54, 4,586.68 and 1,831.45 is: 2,527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.54 : 4,586.68 = 1,831.45 : x
  2. Step 2: Convert to fraction form
    3,323.54/4,586.68 = 1,831.45/x
  3. Step 3: Cross multiply
    3,323.54x = 4,586.68 × 1,831.45
  4. Step 4: Simplify right side
    3,323.54x = 8,400,293.42
  5. Step 5: Solve for x
    x = 8,400,293.42/3,323.54
  6. Step 6: Final answer
    x = 2,527.52

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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.