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Finding the Fourth Proportional to 2,050.71, 3,076.04 and 511.71

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Solution

The fourth proportional to 2,050.71, 3,076.04 and 511.71 is: 767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.71 : 3,076.04 = 511.71 : x
  2. Step 2: Convert to fraction form
    2,050.71/3,076.04 = 511.71/x
  3. Step 3: Cross multiply
    2,050.71x = 3,076.04 × 511.71
  4. Step 4: Simplify right side
    2,050.71x = 1,574,030.17
  5. Step 5: Solve for x
    x = 1,574,030.17/2,050.71
  6. Step 6: Final answer
    x = 767.56

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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.