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Finding the Fourth Proportional to 2,035.20, 3,053.62 and 736.76

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Solution

The fourth proportional to 2,035.20, 3,053.62 and 736.76 is: 1,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.20 : 3,053.62 = 736.76 : x
  2. Step 2: Convert to fraction form
    2,035.20/3,053.62 = 736.76/x
  3. Step 3: Cross multiply
    2,035.20x = 3,053.62 × 736.76
  4. Step 4: Simplify right side
    2,035.20x = 2,249,785.07
  5. Step 5: Solve for x
    x = 2,249,785.07/2,035.20
  6. Step 6: Final answer
    x = 1,105.44

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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.