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Finding the Fourth Proportional to 2,360.96, 3,537.03 and 1,578.66

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Solution

The fourth proportional to 2,360.96, 3,537.03 and 1,578.66 is: 2,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.96 : 3,537.03 = 1,578.66 : x
  2. Step 2: Convert to fraction form
    2,360.96/3,537.03 = 1,578.66/x
  3. Step 3: Cross multiply
    2,360.96x = 3,537.03 × 1,578.66
  4. Step 4: Simplify right side
    2,360.96x = 5,583,760.44
  5. Step 5: Solve for x
    x = 5,583,760.44/2,360.96
  6. Step 6: Final answer
    x = 2,365.04

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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.