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Finding the Fourth Proportional to 2,008.61, 3,013.37 and 710.09

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Solution

The fourth proportional to 2,008.61, 3,013.37 and 710.09 is: 1,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.61 : 3,013.37 = 710.09 : x
  2. Step 2: Convert to fraction form
    2,008.61/3,013.37 = 710.09/x
  3. Step 3: Cross multiply
    2,008.61x = 3,013.37 × 710.09
  4. Step 4: Simplify right side
    2,008.61x = 2,139,745.29
  5. Step 5: Solve for x
    x = 2,139,745.29/2,008.61
  6. Step 6: Final answer
    x = 1,065.29

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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.