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Finding the Fourth Proportional to 2,039.24, 3,059.47 and 740.81

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Solution

The fourth proportional to 2,039.24, 3,059.47 and 740.81 is: 1,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.24 : 3,059.47 = 740.81 : x
  2. Step 2: Convert to fraction form
    2,039.24/3,059.47 = 740.81/x
  3. Step 3: Cross multiply
    2,039.24x = 3,059.47 × 740.81
  4. Step 4: Simplify right side
    2,039.24x = 2,266,494.55
  5. Step 5: Solve for x
    x = 2,266,494.55/2,039.24
  6. Step 6: Final answer
    x = 1,111.44

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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.