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Finding the Fourth Proportional to 2,642.03, 3,964.16 and 1,160.49

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Solution

The fourth proportional to 2,642.03, 3,964.16 and 1,160.49 is: 1,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.03 : 3,964.16 = 1,160.49 : x
  2. Step 2: Convert to fraction form
    2,642.03/3,964.16 = 1,160.49/x
  3. Step 3: Cross multiply
    2,642.03x = 3,964.16 × 1,160.49
  4. Step 4: Simplify right side
    2,642.03x = 4,600,362.24
  5. Step 5: Solve for x
    x = 4,600,362.24/2,642.03
  6. Step 6: Final answer
    x = 1,741.22

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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.