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Finding the Fourth Proportional to 2,051.14, 3,076.71 and 570.47

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Solution

The fourth proportional to 2,051.14, 3,076.71 and 570.47 is: 855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.14 : 3,076.71 = 570.47 : x
  2. Step 2: Convert to fraction form
    2,051.14/3,076.71 = 570.47/x
  3. Step 3: Cross multiply
    2,051.14x = 3,076.71 × 570.47
  4. Step 4: Simplify right side
    2,051.14x = 1,755,178.45
  5. Step 5: Solve for x
    x = 1,755,178.45/2,051.14
  6. Step 6: Final answer
    x = 855.71

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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.