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Finding the Fourth Proportional to 4,464, 6,696.02 and 1,177.35

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Solution

The fourth proportional to 4,464, 6,696.02 and 1,177.35 is: 1,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464 : 6,696.02 = 1,177.35 : x
  2. Step 2: Convert to fraction form
    4,464/6,696.02 = 1,177.35/x
  3. Step 3: Cross multiply
    4,464x = 6,696.02 × 1,177.35
  4. Step 4: Simplify right side
    4,464x = 7,883,553.26
  5. Step 5: Solve for x
    x = 7,883,553.26/4,464
  6. Step 6: Final answer
    x = 1,766.03

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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.