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Finding the Fourth Proportional to 2,360.16, 3,540.54 and 899.12

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Solution

The fourth proportional to 2,360.16, 3,540.54 and 899.12 is: 1,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.16 : 3,540.54 = 899.12 : x
  2. Step 2: Convert to fraction form
    2,360.16/3,540.54 = 899.12/x
  3. Step 3: Cross multiply
    2,360.16x = 3,540.54 × 899.12
  4. Step 4: Simplify right side
    2,360.16x = 3,183,352.62
  5. Step 5: Solve for x
    x = 3,183,352.62/2,360.16
  6. Step 6: Final answer
    x = 1,348.79

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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.