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Finding the Fourth Proportional to 2,805.32, 4,199.47 and 2,252.90

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Solution

The fourth proportional to 2,805.32, 4,199.47 and 2,252.90 is: 3,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.32 : 4,199.47 = 2,252.90 : x
  2. Step 2: Convert to fraction form
    2,805.32/4,199.47 = 2,252.90/x
  3. Step 3: Cross multiply
    2,805.32x = 4,199.47 × 2,252.90
  4. Step 4: Simplify right side
    2,805.32x = 9,460,985.96
  5. Step 5: Solve for x
    x = 9,460,985.96/2,805.32
  6. Step 6: Final answer
    x = 3,372.52

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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.