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Finding the Fourth Proportional to 2,279.34, 3,416.85 and 2,069.82

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Solution

The fourth proportional to 2,279.34, 3,416.85 and 2,069.82 is: 3,102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.34 : 3,416.85 = 2,069.82 : x
  2. Step 2: Convert to fraction form
    2,279.34/3,416.85 = 2,069.82/x
  3. Step 3: Cross multiply
    2,279.34x = 3,416.85 × 2,069.82
  4. Step 4: Simplify right side
    2,279.34x = 7,072,264.47
  5. Step 5: Solve for x
    x = 7,072,264.47/2,279.34
  6. Step 6: Final answer
    x = 3,102.77

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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.