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Finding the Fourth Proportional to 2,945.70, 4,063.70 and 1,764.72

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Solution

The fourth proportional to 2,945.70, 4,063.70 and 1,764.72 is: 2,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.70 : 4,063.70 = 1,764.72 : x
  2. Step 2: Convert to fraction form
    2,945.70/4,063.70 = 1,764.72/x
  3. Step 3: Cross multiply
    2,945.70x = 4,063.70 × 1,764.72
  4. Step 4: Simplify right side
    2,945.70x = 7,171,297.08
  5. Step 5: Solve for x
    x = 7,171,297.08/2,945.70
  6. Step 6: Final answer
    x = 2,434.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.