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Finding the Fourth Proportional to 4,297.65, 6,446.06 and 1,177.53

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Solution

The fourth proportional to 4,297.65, 6,446.06 and 1,177.53 is: 1,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.65 : 6,446.06 = 1,177.53 : x
  2. Step 2: Convert to fraction form
    4,297.65/6,446.06 = 1,177.53/x
  3. Step 3: Cross multiply
    4,297.65x = 6,446.06 × 1,177.53
  4. Step 4: Simplify right side
    4,297.65x = 7,590,429.03
  5. Step 5: Solve for x
    x = 7,590,429.03/4,297.65
  6. Step 6: Final answer
    x = 1,766.18

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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.