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Finding the Fourth Proportional to 2,186.12, 3,279.66 and 647.24

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Solution

The fourth proportional to 2,186.12, 3,279.66 and 647.24 is: 971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.12 : 3,279.66 = 647.24 : x
  2. Step 2: Convert to fraction form
    2,186.12/3,279.66 = 647.24/x
  3. Step 3: Cross multiply
    2,186.12x = 3,279.66 × 647.24
  4. Step 4: Simplify right side
    2,186.12x = 2,122,727.14
  5. Step 5: Solve for x
    x = 2,122,727.14/2,186.12
  6. Step 6: Final answer
    x = 971.00

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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.