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Finding the Fourth Proportional to 2,126.92, 3,190.65 and 740.36

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Solution

The fourth proportional to 2,126.92, 3,190.65 and 740.36 is: 1,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.92 : 3,190.65 = 740.36 : x
  2. Step 2: Convert to fraction form
    2,126.92/3,190.65 = 740.36/x
  3. Step 3: Cross multiply
    2,126.92x = 3,190.65 × 740.36
  4. Step 4: Simplify right side
    2,126.92x = 2,362,229.63
  5. Step 5: Solve for x
    x = 2,362,229.63/2,126.92
  6. Step 6: Final answer
    x = 1,110.63

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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.