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Finding the Fourth Proportional to 2,108.08, 3,161.28 and 647.20

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Solution

The fourth proportional to 2,108.08, 3,161.28 and 647.20 is: 970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.08 : 3,161.28 = 647.20 : x
  2. Step 2: Convert to fraction form
    2,108.08/3,161.28 = 647.20/x
  3. Step 3: Cross multiply
    2,108.08x = 3,161.28 × 647.20
  4. Step 4: Simplify right side
    2,108.08x = 2,045,980.42
  5. Step 5: Solve for x
    x = 2,045,980.42/2,108.08
  6. Step 6: Final answer
    x = 970.54

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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.