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Finding the Fourth Proportional to 2,039.69, 3,058.18 and 741.17

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Solution

The fourth proportional to 2,039.69, 3,058.18 and 741.17 is: 1,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.69 : 3,058.18 = 741.17 : x
  2. Step 2: Convert to fraction form
    2,039.69/3,058.18 = 741.17/x
  3. Step 3: Cross multiply
    2,039.69x = 3,058.18 × 741.17
  4. Step 4: Simplify right side
    2,039.69x = 2,266,631.27
  5. Step 5: Solve for x
    x = 2,266,631.27/2,039.69
  6. Step 6: Final answer
    x = 1,111.26

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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.