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Finding the Fourth Proportional to 2,840.63, 3,907.05 and 2,279.87

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Solution

The fourth proportional to 2,840.63, 3,907.05 and 2,279.87 is: 3,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.63 : 3,907.05 = 2,279.87 : x
  2. Step 2: Convert to fraction form
    2,840.63/3,907.05 = 2,279.87/x
  3. Step 3: Cross multiply
    2,840.63x = 3,907.05 × 2,279.87
  4. Step 4: Simplify right side
    2,840.63x = 8,907,566.08
  5. Step 5: Solve for x
    x = 8,907,566.08/2,840.63
  6. Step 6: Final answer
    x = 3,135.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.