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Finding the Fourth Proportional to 2,055.99, 3,085.10 and 1,493.18

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Solution

The fourth proportional to 2,055.99, 3,085.10 and 1,493.18 is: 2,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.99 : 3,085.10 = 1,493.18 : x
  2. Step 2: Convert to fraction form
    2,055.99/3,085.10 = 1,493.18/x
  3. Step 3: Cross multiply
    2,055.99x = 3,085.10 × 1,493.18
  4. Step 4: Simplify right side
    2,055.99x = 4,606,586.73
  5. Step 5: Solve for x
    x = 4,606,586.73/2,055.99
  6. Step 6: Final answer
    x = 2,240.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.