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Finding the Fourth Proportional to 2,074.32, 3,110.12 and 775.04

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Solution

The fourth proportional to 2,074.32, 3,110.12 and 775.04 is: 1,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.32 : 3,110.12 = 775.04 : x
  2. Step 2: Convert to fraction form
    2,074.32/3,110.12 = 775.04/x
  3. Step 3: Cross multiply
    2,074.32x = 3,110.12 × 775.04
  4. Step 4: Simplify right side
    2,074.32x = 2,410,467.40
  5. Step 5: Solve for x
    x = 2,410,467.40/2,074.32
  6. Step 6: Final answer
    x = 1,162.05

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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.