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Finding the Fourth Proportional to 2,279.80, 3,420.15 and 1,029.77

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Solution

The fourth proportional to 2,279.80, 3,420.15 and 1,029.77 is: 1,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.80 : 3,420.15 = 1,029.77 : x
  2. Step 2: Convert to fraction form
    2,279.80/3,420.15 = 1,029.77/x
  3. Step 3: Cross multiply
    2,279.80x = 3,420.15 × 1,029.77
  4. Step 4: Simplify right side
    2,279.80x = 3,521,967.87
  5. Step 5: Solve for x
    x = 3,521,967.87/2,279.80
  6. Step 6: Final answer
    x = 1,544.86

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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.