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Finding the Fourth Proportional to 2,007.14, 3,010.23 and 601.27

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Solution

The fourth proportional to 2,007.14, 3,010.23 and 601.27 is: 901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.14 : 3,010.23 = 601.27 : x
  2. Step 2: Convert to fraction form
    2,007.14/3,010.23 = 601.27/x
  3. Step 3: Cross multiply
    2,007.14x = 3,010.23 × 601.27
  4. Step 4: Simplify right side
    2,007.14x = 1,809,953.47
  5. Step 5: Solve for x
    x = 1,809,953.47/2,007.14
  6. Step 6: Final answer
    x = 901.76

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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.