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Finding the Fourth Proportional to 1,673.52, 2,509.92 and 519

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Solution

The fourth proportional to 1,673.52, 2,509.92 and 519 is: 778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.52 : 2,509.92 = 519 : x
  2. Step 2: Convert to fraction form
    1,673.52/2,509.92 = 519/x
  3. Step 3: Cross multiply
    1,673.52x = 2,509.92 × 519
  4. Step 4: Simplify right side
    1,673.52x = 1,302,648.48
  5. Step 5: Solve for x
    x = 1,302,648.48/1,673.52
  6. Step 6: Final answer
    x = 778.39

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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.