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Finding the Fourth Proportional to 2,827.72, 3,902.30 and 1,551.64

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Solution

The fourth proportional to 2,827.72, 3,902.30 and 1,551.64 is: 2,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.72 : 3,902.30 = 1,551.64 : x
  2. Step 2: Convert to fraction form
    2,827.72/3,902.30 = 1,551.64/x
  3. Step 3: Cross multiply
    2,827.72x = 3,902.30 × 1,551.64
  4. Step 4: Simplify right side
    2,827.72x = 6,054,964.77
  5. Step 5: Solve for x
    x = 6,054,964.77/2,827.72
  6. Step 6: Final answer
    x = 2,141.29

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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.