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Finding the Fourth Proportional to 2,201.94, 3,302.73 and 740.70

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Solution

The fourth proportional to 2,201.94, 3,302.73 and 740.70 is: 1,110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.94 : 3,302.73 = 740.70 : x
  2. Step 2: Convert to fraction form
    2,201.94/3,302.73 = 740.70/x
  3. Step 3: Cross multiply
    2,201.94x = 3,302.73 × 740.70
  4. Step 4: Simplify right side
    2,201.94x = 2,446,332.11
  5. Step 5: Solve for x
    x = 2,446,332.11/2,201.94
  6. Step 6: Final answer
    x = 1,110.99

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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.