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Finding the Fourth Proportional to 2,050.99, 3,076.49 and 511.99

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Solution

The fourth proportional to 2,050.99, 3,076.49 and 511.99 is: 767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.99 : 3,076.49 = 511.99 : x
  2. Step 2: Convert to fraction form
    2,050.99/3,076.49 = 511.99/x
  3. Step 3: Cross multiply
    2,050.99x = 3,076.49 × 511.99
  4. Step 4: Simplify right side
    2,050.99x = 1,575,114.17
  5. Step 5: Solve for x
    x = 1,575,114.17/2,050.99
  6. Step 6: Final answer
    x = 767.98

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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.