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Finding the Fourth Proportional to 2,365.10, 3,548.10 and 805.04

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Solution

The fourth proportional to 2,365.10, 3,548.10 and 805.04 is: 1,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.10 : 3,548.10 = 805.04 : x
  2. Step 2: Convert to fraction form
    2,365.10/3,548.10 = 805.04/x
  3. Step 3: Cross multiply
    2,365.10x = 3,548.10 × 805.04
  4. Step 4: Simplify right side
    2,365.10x = 2,856,361.01
  5. Step 5: Solve for x
    x = 2,856,361.01/2,365.10
  6. Step 6: Final answer
    x = 1,207.71

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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.