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Finding the Fourth Proportional to 2,050.69, 3,076.03 and 511.69

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Solution

The fourth proportional to 2,050.69, 3,076.03 and 511.69 is: 767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.69 : 3,076.03 = 511.69 : x
  2. Step 2: Convert to fraction form
    2,050.69/3,076.03 = 511.69/x
  3. Step 3: Cross multiply
    2,050.69x = 3,076.03 × 511.69
  4. Step 4: Simplify right side
    2,050.69x = 1,573,966.74
  5. Step 5: Solve for x
    x = 1,573,966.74/2,050.69
  6. Step 6: Final answer
    x = 767.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.