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Finding the Fourth Proportional to 3,012.72, 4,155.96 and 1,770

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Solution

The fourth proportional to 3,012.72, 4,155.96 and 1,770 is: 2,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.72 : 4,155.96 = 1,770 : x
  2. Step 2: Convert to fraction form
    3,012.72/4,155.96 = 1,770/x
  3. Step 3: Cross multiply
    3,012.72x = 4,155.96 × 1,770
  4. Step 4: Simplify right side
    3,012.72x = 7,356,049.20
  5. Step 5: Solve for x
    x = 7,356,049.20/3,012.72
  6. Step 6: Final answer
    x = 2,441.66

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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.