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Finding the Fourth Proportional to 4,154.85, 6,232.24 and 1,034.83

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Solution

The fourth proportional to 4,154.85, 6,232.24 and 1,034.83 is: 1,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.85 : 6,232.24 = 1,034.83 : x
  2. Step 2: Convert to fraction form
    4,154.85/6,232.24 = 1,034.83/x
  3. Step 3: Cross multiply
    4,154.85x = 6,232.24 × 1,034.83
  4. Step 4: Simplify right side
    4,154.85x = 6,449,303.75
  5. Step 5: Solve for x
    x = 6,449,303.75/4,154.85
  6. Step 6: Final answer
    x = 1,552.24

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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.