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Finding the Fourth Proportional to 2,811.96, 3,880.86 and 1,693.48

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Solution

The fourth proportional to 2,811.96, 3,880.86 and 1,693.48 is: 2,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.96 : 3,880.86 = 1,693.48 : x
  2. Step 2: Convert to fraction form
    2,811.96/3,880.86 = 1,693.48/x
  3. Step 3: Cross multiply
    2,811.96x = 3,880.86 × 1,693.48
  4. Step 4: Simplify right side
    2,811.96x = 6,572,158.79
  5. Step 5: Solve for x
    x = 6,572,158.79/2,811.96
  6. Step 6: Final answer
    x = 2,337.22

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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.