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Finding the Fourth Proportional to 2,074.12, 3,110.94 and 535.24

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Solution

The fourth proportional to 2,074.12, 3,110.94 and 535.24 is: 802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.12 : 3,110.94 = 535.24 : x
  2. Step 2: Convert to fraction form
    2,074.12/3,110.94 = 535.24/x
  3. Step 3: Cross multiply
    2,074.12x = 3,110.94 × 535.24
  4. Step 4: Simplify right side
    2,074.12x = 1,665,099.53
  5. Step 5: Solve for x
    x = 1,665,099.53/2,074.12
  6. Step 6: Final answer
    x = 802.80

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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.