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Finding the Fourth Proportional to 2,035.02, 3,053.26 and 801.74

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Solution

The fourth proportional to 2,035.02, 3,053.26 and 801.74 is: 1,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.02 : 3,053.26 = 801.74 : x
  2. Step 2: Convert to fraction form
    2,035.02/3,053.26 = 801.74/x
  3. Step 3: Cross multiply
    2,035.02x = 3,053.26 × 801.74
  4. Step 4: Simplify right side
    2,035.02x = 2,447,920.67
  5. Step 5: Solve for x
    x = 2,447,920.67/2,035.02
  6. Step 6: Final answer
    x = 1,202.90

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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.