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Finding the Fourth Proportional to 3,323.17, 4,585.73 and 1,831.00

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Solution

The fourth proportional to 3,323.17, 4,585.73 and 1,831.00 is: 2,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.17 : 4,585.73 = 1,831.00 : x
  2. Step 2: Convert to fraction form
    3,323.17/4,585.73 = 1,831.00/x
  3. Step 3: Cross multiply
    3,323.17x = 4,585.73 × 1,831.00
  4. Step 4: Simplify right side
    3,323.17x = 8,396,439.55
  5. Step 5: Solve for x
    x = 8,396,439.55/3,323.17
  6. Step 6: Final answer
    x = 2,526.64

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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.