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Finding the Fourth Proportional to 2,530.99, 3,793.77 and 1,709.05

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Solution

The fourth proportional to 2,530.99, 3,793.77 and 1,709.05 is: 2,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.99 : 3,793.77 = 1,709.05 : x
  2. Step 2: Convert to fraction form
    2,530.99/3,793.77 = 1,709.05/x
  3. Step 3: Cross multiply
    2,530.99x = 3,793.77 × 1,709.05
  4. Step 4: Simplify right side
    2,530.99x = 6,483,742.62
  5. Step 5: Solve for x
    x = 6,483,742.62/2,530.99
  6. Step 6: Final answer
    x = 2,561.74

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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.