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Finding the Fourth Proportional to 4,463.88, 6,696.50 and 1,177.22

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Solution

The fourth proportional to 4,463.88, 6,696.50 and 1,177.22 is: 1,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.88 : 6,696.50 = 1,177.22 : x
  2. Step 2: Convert to fraction form
    4,463.88/6,696.50 = 1,177.22/x
  3. Step 3: Cross multiply
    4,463.88x = 6,696.50 × 1,177.22
  4. Step 4: Simplify right side
    4,463.88x = 7,883,264.59
  5. Step 5: Solve for x
    x = 7,883,264.59/4,463.88
  6. Step 6: Final answer
    x = 1,766.01

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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.