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Finding the Fourth Proportional to 2,496.05, 3,743.54 and 740.63

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Solution

The fourth proportional to 2,496.05, 3,743.54 and 740.63 is: 1,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.05 : 3,743.54 = 740.63 : x
  2. Step 2: Convert to fraction form
    2,496.05/3,743.54 = 740.63/x
  3. Step 3: Cross multiply
    2,496.05x = 3,743.54 × 740.63
  4. Step 4: Simplify right side
    2,496.05x = 2,772,586.46
  5. Step 5: Solve for x
    x = 2,772,586.46/2,496.05
  6. Step 6: Final answer
    x = 1,110.79

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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.