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Finding the Fourth Proportional to 1,942.83, 2,894.63 and 1,849.95

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Solution

The fourth proportional to 1,942.83, 2,894.63 and 1,849.95 is: 2,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.83 : 2,894.63 = 1,849.95 : x
  2. Step 2: Convert to fraction form
    1,942.83/2,894.63 = 1,849.95/x
  3. Step 3: Cross multiply
    1,942.83x = 2,894.63 × 1,849.95
  4. Step 4: Simplify right side
    1,942.83x = 5,354,911.52
  5. Step 5: Solve for x
    x = 5,354,911.52/1,942.83
  6. Step 6: Final answer
    x = 2,756.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.