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Finding the Fourth Proportional to 2,805.25, 4,207.86 and 2,444.40

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Solution

The fourth proportional to 2,805.25, 4,207.86 and 2,444.40 is: 3,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.25 : 4,207.86 = 2,444.40 : x
  2. Step 2: Convert to fraction form
    2,805.25/4,207.86 = 2,444.40/x
  3. Step 3: Cross multiply
    2,805.25x = 4,207.86 × 2,444.40
  4. Step 4: Simplify right side
    2,805.25x = 10,285,692.98
  5. Step 5: Solve for x
    x = 10,285,692.98/2,805.25
  6. Step 6: Final answer
    x = 3,666.59

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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.