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Finding the Fourth Proportional to 2,844.34, 3,925.94 and 2,005.29

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Solution

The fourth proportional to 2,844.34, 3,925.94 and 2,005.29 is: 2,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.34 : 3,925.94 = 2,005.29 : x
  2. Step 2: Convert to fraction form
    2,844.34/3,925.94 = 2,005.29/x
  3. Step 3: Cross multiply
    2,844.34x = 3,925.94 × 2,005.29
  4. Step 4: Simplify right side
    2,844.34x = 7,872,638.20
  5. Step 5: Solve for x
    x = 7,872,638.20/2,844.34
  6. Step 6: Final answer
    x = 2,767.83

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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.