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Finding the Fourth Proportional to 4,297.51, 6,446.26 and 1,177.55

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Solution

The fourth proportional to 4,297.51, 6,446.26 and 1,177.55 is: 1,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.51 : 6,446.26 = 1,177.55 : x
  2. Step 2: Convert to fraction form
    4,297.51/6,446.26 = 1,177.55/x
  3. Step 3: Cross multiply
    4,297.51x = 6,446.26 × 1,177.55
  4. Step 4: Simplify right side
    4,297.51x = 7,590,761.23
  5. Step 5: Solve for x
    x = 7,590,761.23/4,297.51
  6. Step 6: Final answer
    x = 1,766.32

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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.