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Finding the Fourth Proportional to 2,108.25, 3,162.69 and 647.28

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Solution

The fourth proportional to 2,108.25, 3,162.69 and 647.28 is: 971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.25 : 3,162.69 = 647.28 : x
  2. Step 2: Convert to fraction form
    2,108.25/3,162.69 = 647.28/x
  3. Step 3: Cross multiply
    2,108.25x = 3,162.69 × 647.28
  4. Step 4: Simplify right side
    2,108.25x = 2,047,145.98
  5. Step 5: Solve for x
    x = 2,047,145.98/2,108.25
  6. Step 6: Final answer
    x = 971.02

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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.