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Finding the Fourth Proportional to 2,048.75, 3,073.14 and 509.75

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Solution

The fourth proportional to 2,048.75, 3,073.14 and 509.75 is: 764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.75 : 3,073.14 = 509.75 : x
  2. Step 2: Convert to fraction form
    2,048.75/3,073.14 = 509.75/x
  3. Step 3: Cross multiply
    2,048.75x = 3,073.14 × 509.75
  4. Step 4: Simplify right side
    2,048.75x = 1,566,533.12
  5. Step 5: Solve for x
    x = 1,566,533.12/2,048.75
  6. Step 6: Final answer
    x = 764.63

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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.