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Finding the Fourth Proportional to 2,693.68, 3,711.98 and 2,064.92

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Solution

The fourth proportional to 2,693.68, 3,711.98 and 2,064.92 is: 2,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.68 : 3,711.98 = 2,064.92 : x
  2. Step 2: Convert to fraction form
    2,693.68/3,711.98 = 2,064.92/x
  3. Step 3: Cross multiply
    2,693.68x = 3,711.98 × 2,064.92
  4. Step 4: Simplify right side
    2,693.68x = 7,664,928.34
  5. Step 5: Solve for x
    x = 7,664,928.34/2,693.68
  6. Step 6: Final answer
    x = 2,845.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.