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Finding the Fourth Proportional to 2,496.46, 3,743.38 and 741.22

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Solution

The fourth proportional to 2,496.46, 3,743.38 and 741.22 is: 1,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.46 : 3,743.38 = 741.22 : x
  2. Step 2: Convert to fraction form
    2,496.46/3,743.38 = 741.22/x
  3. Step 3: Cross multiply
    2,496.46x = 3,743.38 × 741.22
  4. Step 4: Simplify right side
    2,496.46x = 2,774,680.75
  5. Step 5: Solve for x
    x = 2,774,680.75/2,496.46
  6. Step 6: Final answer
    x = 1,111.45

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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.