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Finding the Fourth Proportional to 2,048.76, 3,073.18 and 509.76

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Solution

The fourth proportional to 2,048.76, 3,073.18 and 509.76 is: 764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.76 : 3,073.18 = 509.76 : x
  2. Step 2: Convert to fraction form
    2,048.76/3,073.18 = 509.76/x
  3. Step 3: Cross multiply
    2,048.76x = 3,073.18 × 509.76
  4. Step 4: Simplify right side
    2,048.76x = 1,566,584.24
  5. Step 5: Solve for x
    x = 1,566,584.24/2,048.76
  6. Step 6: Final answer
    x = 764.65

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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.