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Finding the Fourth Proportional to 2,038.52, 3,057.24 and 884

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Solution

The fourth proportional to 2,038.52, 3,057.24 and 884 is: 1,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.52 : 3,057.24 = 884 : x
  2. Step 2: Convert to fraction form
    2,038.52/3,057.24 = 884/x
  3. Step 3: Cross multiply
    2,038.52x = 3,057.24 × 884
  4. Step 4: Simplify right side
    2,038.52x = 2,702,600.16
  5. Step 5: Solve for x
    x = 2,702,600.16/2,038.52
  6. Step 6: Final answer
    x = 1,325.77

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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.