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Finding the Fourth Proportional to 4,154.32, 6,230.84 and 1,418.32

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Solution

The fourth proportional to 4,154.32, 6,230.84 and 1,418.32 is: 2,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.32 : 6,230.84 = 1,418.32 : x
  2. Step 2: Convert to fraction form
    4,154.32/6,230.84 = 1,418.32/x
  3. Step 3: Cross multiply
    4,154.32x = 6,230.84 × 1,418.32
  4. Step 4: Simplify right side
    4,154.32x = 8,837,324.99
  5. Step 5: Solve for x
    x = 8,837,324.99/4,154.32
  6. Step 6: Final answer
    x = 2,127.26

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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.