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Finding the Fourth Proportional to 4,154.80, 6,232.80 and 1,232.72

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Solution

The fourth proportional to 4,154.80, 6,232.80 and 1,232.72 is: 1,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.80 : 6,232.80 = 1,232.72 : x
  2. Step 2: Convert to fraction form
    4,154.80/6,232.80 = 1,232.72/x
  3. Step 3: Cross multiply
    4,154.80x = 6,232.80 × 1,232.72
  4. Step 4: Simplify right side
    4,154.80x = 7,683,297.22
  5. Step 5: Solve for x
    x = 7,683,297.22/4,154.80
  6. Step 6: Final answer
    x = 1,849.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.