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Finding the Fourth Proportional to 2,317.92, 3,477.16 and 1,452.30

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Solution

The fourth proportional to 2,317.92, 3,477.16 and 1,452.30 is: 2,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.92 : 3,477.16 = 1,452.30 : x
  2. Step 2: Convert to fraction form
    2,317.92/3,477.16 = 1,452.30/x
  3. Step 3: Cross multiply
    2,317.92x = 3,477.16 × 1,452.30
  4. Step 4: Simplify right side
    2,317.92x = 5,049,879.47
  5. Step 5: Solve for x
    x = 5,049,879.47/2,317.92
  6. Step 6: Final answer
    x = 2,178.63

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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.