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Finding the Fourth Proportional to 2,530.08, 3,795.57 and 775.05

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Solution

The fourth proportional to 2,530.08, 3,795.57 and 775.05 is: 1,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.08 : 3,795.57 = 775.05 : x
  2. Step 2: Convert to fraction form
    2,530.08/3,795.57 = 775.05/x
  3. Step 3: Cross multiply
    2,530.08x = 3,795.57 × 775.05
  4. Step 4: Simplify right side
    2,530.08x = 2,941,742.30
  5. Step 5: Solve for x
    x = 2,941,742.30/2,530.08
  6. Step 6: Final answer
    x = 1,162.71

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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.