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Finding the Fourth Proportional to 2,108.06, 3,161.70 and 646.88

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Solution

The fourth proportional to 2,108.06, 3,161.70 and 646.88 is: 970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.06 : 3,161.70 = 646.88 : x
  2. Step 2: Convert to fraction form
    2,108.06/3,161.70 = 646.88/x
  3. Step 3: Cross multiply
    2,108.06x = 3,161.70 × 646.88
  4. Step 4: Simplify right side
    2,108.06x = 2,045,248.40
  5. Step 5: Solve for x
    x = 2,045,248.40/2,108.06
  6. Step 6: Final answer
    x = 970.21

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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.