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Finding the Fourth Proportional to 2,811.68, 3,880.32 and 1,693.28

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Solution

The fourth proportional to 2,811.68, 3,880.32 and 1,693.28 is: 2,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.68 : 3,880.32 = 1,693.28 : x
  2. Step 2: Convert to fraction form
    2,811.68/3,880.32 = 1,693.28/x
  3. Step 3: Cross multiply
    2,811.68x = 3,880.32 × 1,693.28
  4. Step 4: Simplify right side
    2,811.68x = 6,570,468.25
  5. Step 5: Solve for x
    x = 6,570,468.25/2,811.68
  6. Step 6: Final answer
    x = 2,336.85

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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.