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Finding the Fourth Proportional to 2,496.30, 3,743.81 and 740.89

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Solution

The fourth proportional to 2,496.30, 3,743.81 and 740.89 is: 1,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.30 : 3,743.81 = 740.89 : x
  2. Step 2: Convert to fraction form
    2,496.30/3,743.81 = 740.89/x
  3. Step 3: Cross multiply
    2,496.30x = 3,743.81 × 740.89
  4. Step 4: Simplify right side
    2,496.30x = 2,773,732.00
  5. Step 5: Solve for x
    x = 2,773,732.00/2,496.30
  6. Step 6: Final answer
    x = 1,111.14

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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.