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Finding the Fourth Proportional to 4,270.70, 6,406.71 and 1,805.53

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Solution

The fourth proportional to 4,270.70, 6,406.71 and 1,805.53 is: 2,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.70 : 6,406.71 = 1,805.53 : x
  2. Step 2: Convert to fraction form
    4,270.70/6,406.71 = 1,805.53/x
  3. Step 3: Cross multiply
    4,270.70x = 6,406.71 × 1,805.53
  4. Step 4: Simplify right side
    4,270.70x = 11,567,507.11
  5. Step 5: Solve for x
    x = 11,567,507.11/4,270.70
  6. Step 6: Final answer
    x = 2,708.57

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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.