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Finding the Fourth Proportional to 2,796.32, 3,854.04 and 2,048.69

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Solution

The fourth proportional to 2,796.32, 3,854.04 and 2,048.69 is: 2,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.32 : 3,854.04 = 2,048.69 : x
  2. Step 2: Convert to fraction form
    2,796.32/3,854.04 = 2,048.69/x
  3. Step 3: Cross multiply
    2,796.32x = 3,854.04 × 2,048.69
  4. Step 4: Simplify right side
    2,796.32x = 7,895,733.21
  5. Step 5: Solve for x
    x = 7,895,733.21/2,796.32
  6. Step 6: Final answer
    x = 2,823.62

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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.