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Finding the Fourth Proportional to 3,035.09, 4,552.13 and 843.84

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Solution

The fourth proportional to 3,035.09, 4,552.13 and 843.84 is: 1,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.09 : 4,552.13 = 843.84 : x
  2. Step 2: Convert to fraction form
    3,035.09/4,552.13 = 843.84/x
  3. Step 3: Cross multiply
    3,035.09x = 4,552.13 × 843.84
  4. Step 4: Simplify right side
    3,035.09x = 3,841,271.49
  5. Step 5: Solve for x
    x = 3,841,271.49/3,035.09
  6. Step 6: Final answer
    x = 1,265.62

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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.