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Finding the Fourth Proportional to 2,583.60, 3,872.52 and 2,005.04

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Solution

The fourth proportional to 2,583.60, 3,872.52 and 2,005.04 is: 3,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.60 : 3,872.52 = 2,005.04 : x
  2. Step 2: Convert to fraction form
    2,583.60/3,872.52 = 2,005.04/x
  3. Step 3: Cross multiply
    2,583.60x = 3,872.52 × 2,005.04
  4. Step 4: Simplify right side
    2,583.60x = 7,764,557.50
  5. Step 5: Solve for x
    x = 7,764,557.50/2,583.60
  6. Step 6: Final answer
    x = 3,005.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.