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Finding the Fourth Proportional to 2,803.34, 3,867.90 and 1,683.92

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Solution

The fourth proportional to 2,803.34, 3,867.90 and 1,683.92 is: 2,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.34 : 3,867.90 = 1,683.92 : x
  2. Step 2: Convert to fraction form
    2,803.34/3,867.90 = 1,683.92/x
  3. Step 3: Cross multiply
    2,803.34x = 3,867.90 × 1,683.92
  4. Step 4: Simplify right side
    2,803.34x = 6,513,234.17
  5. Step 5: Solve for x
    x = 6,513,234.17/2,803.34
  6. Step 6: Final answer
    x = 2,323.38

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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.