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Finding the Fourth Proportional to 2,048.78, 3,073.20 and 509.78

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Solution

The fourth proportional to 2,048.78, 3,073.20 and 509.78 is: 764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.78 : 3,073.20 = 509.78 : x
  2. Step 2: Convert to fraction form
    2,048.78/3,073.20 = 509.78/x
  3. Step 3: Cross multiply
    2,048.78x = 3,073.20 × 509.78
  4. Step 4: Simplify right side
    2,048.78x = 1,566,655.90
  5. Step 5: Solve for x
    x = 1,566,655.90/2,048.78
  6. Step 6: Final answer
    x = 764.68

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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.