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Finding the Fourth Proportional to 2,300.91, 3,451.81 and 741.32

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Solution

The fourth proportional to 2,300.91, 3,451.81 and 741.32 is: 1,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.91 : 3,451.81 = 741.32 : x
  2. Step 2: Convert to fraction form
    2,300.91/3,451.81 = 741.32/x
  3. Step 3: Cross multiply
    2,300.91x = 3,451.81 × 741.32
  4. Step 4: Simplify right side
    2,300.91x = 2,558,895.79
  5. Step 5: Solve for x
    x = 2,558,895.79/2,300.91
  6. Step 6: Final answer
    x = 1,112.12

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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.