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Finding the Fourth Proportional to 2,847.92, 3,929.28 and 1,854.32

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Solution

The fourth proportional to 2,847.92, 3,929.28 and 1,854.32 is: 2,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.92 : 3,929.28 = 1,854.32 : x
  2. Step 2: Convert to fraction form
    2,847.92/3,929.28 = 1,854.32/x
  3. Step 3: Cross multiply
    2,847.92x = 3,929.28 × 1,854.32
  4. Step 4: Simplify right side
    2,847.92x = 7,286,142.49
  5. Step 5: Solve for x
    x = 7,286,142.49/2,847.92
  6. Step 6: Final answer
    x = 2,558.41

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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.