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Finding the Fourth Proportional to 2,379.03, 3,568.14 and 647.25

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Solution

The fourth proportional to 2,379.03, 3,568.14 and 647.25 is: 970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.03 : 3,568.14 = 647.25 : x
  2. Step 2: Convert to fraction form
    2,379.03/3,568.14 = 647.25/x
  3. Step 3: Cross multiply
    2,379.03x = 3,568.14 × 647.25
  4. Step 4: Simplify right side
    2,379.03x = 2,309,478.62
  5. Step 5: Solve for x
    x = 2,309,478.62/2,379.03
  6. Step 6: Final answer
    x = 970.76

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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.