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Finding the Fourth Proportional to 2,108.17, 3,162.65 and 647.33

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Solution

The fourth proportional to 2,108.17, 3,162.65 and 647.33 is: 971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.17 : 3,162.65 = 647.33 : x
  2. Step 2: Convert to fraction form
    2,108.17/3,162.65 = 647.33/x
  3. Step 3: Cross multiply
    2,108.17x = 3,162.65 × 647.33
  4. Step 4: Simplify right side
    2,108.17x = 2,047,278.22
  5. Step 5: Solve for x
    x = 2,047,278.22/2,108.17
  6. Step 6: Final answer
    x = 971.12

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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.