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Finding the Fourth Proportional to 2,556.15, 3,834.23 and 1,409.19

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Solution

The fourth proportional to 2,556.15, 3,834.23 and 1,409.19 is: 2,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.15 : 3,834.23 = 1,409.19 : x
  2. Step 2: Convert to fraction form
    2,556.15/3,834.23 = 1,409.19/x
  3. Step 3: Cross multiply
    2,556.15x = 3,834.23 × 1,409.19
  4. Step 4: Simplify right side
    2,556.15x = 5,403,151.53
  5. Step 5: Solve for x
    x = 5,403,151.53/2,556.15
  6. Step 6: Final answer
    x = 2,113.79

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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.