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Finding the Fourth Proportional to 3,323.10, 4,585.82 and 1,831.16

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Solution

The fourth proportional to 3,323.10, 4,585.82 and 1,831.16 is: 2,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.10 : 4,585.82 = 1,831.16 : x
  2. Step 2: Convert to fraction form
    3,323.10/4,585.82 = 1,831.16/x
  3. Step 3: Cross multiply
    3,323.10x = 4,585.82 × 1,831.16
  4. Step 4: Simplify right side
    3,323.10x = 8,397,338.07
  5. Step 5: Solve for x
    x = 8,397,338.07/3,323.10
  6. Step 6: Final answer
    x = 2,526.96

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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.