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Finding the Fourth Proportional to 2,343.66, 3,232.20 and 1,684.86

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Solution

The fourth proportional to 2,343.66, 3,232.20 and 1,684.86 is: 2,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.66 : 3,232.20 = 1,684.86 : x
  2. Step 2: Convert to fraction form
    2,343.66/3,232.20 = 1,684.86/x
  3. Step 3: Cross multiply
    2,343.66x = 3,232.20 × 1,684.86
  4. Step 4: Simplify right side
    2,343.66x = 5,445,804.49
  5. Step 5: Solve for x
    x = 5,445,804.49/2,343.66
  6. Step 6: Final answer
    x = 2,323.63

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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.