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Finding the Fourth Proportional to 2,008.72, 3,013.54 and 776.14

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Solution

The fourth proportional to 2,008.72, 3,013.54 and 776.14 is: 1,164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.72 : 3,013.54 = 776.14 : x
  2. Step 2: Convert to fraction form
    2,008.72/3,013.54 = 776.14/x
  3. Step 3: Cross multiply
    2,008.72x = 3,013.54 × 776.14
  4. Step 4: Simplify right side
    2,008.72x = 2,338,928.94
  5. Step 5: Solve for x
    x = 2,338,928.94/2,008.72
  6. Step 6: Final answer
    x = 1,164.39

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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.