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Finding the Fourth Proportional to 3,035.18, 4,552.26 and 844.10

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Solution

The fourth proportional to 3,035.18, 4,552.26 and 844.10 is: 1,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.18 : 4,552.26 = 844.10 : x
  2. Step 2: Convert to fraction form
    3,035.18/4,552.26 = 844.10/x
  3. Step 3: Cross multiply
    3,035.18x = 4,552.26 × 844.10
  4. Step 4: Simplify right side
    3,035.18x = 3,842,562.67
  5. Step 5: Solve for x
    x = 3,842,562.67/3,035.18
  6. Step 6: Final answer
    x = 1,266.01

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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.