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Finding the Fourth Proportional to 4,154.52, 6,232.81 and 1,232.83

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Solution

The fourth proportional to 4,154.52, 6,232.81 and 1,232.83 is: 1,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.52 : 6,232.81 = 1,232.83 : x
  2. Step 2: Convert to fraction form
    4,154.52/6,232.81 = 1,232.83/x
  3. Step 3: Cross multiply
    4,154.52x = 6,232.81 × 1,232.83
  4. Step 4: Simplify right side
    4,154.52x = 7,683,967.11
  5. Step 5: Solve for x
    x = 7,683,967.11/4,154.52
  6. Step 6: Final answer
    x = 1,849.54

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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.