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Finding the Fourth Proportional to 1,505.67, 2,077.23 and 1,063.41

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Solution

The fourth proportional to 1,505.67, 2,077.23 and 1,063.41 is: 1,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.67 : 2,077.23 = 1,063.41 : x
  2. Step 2: Convert to fraction form
    1,505.67/2,077.23 = 1,063.41/x
  3. Step 3: Cross multiply
    1,505.67x = 2,077.23 × 1,063.41
  4. Step 4: Simplify right side
    1,505.67x = 2,208,947.15
  5. Step 5: Solve for x
    x = 2,208,947.15/1,505.67
  6. Step 6: Final answer
    x = 1,467.09

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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.