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Finding the Fourth Proportional to 2,777.86, 4,143.23 and 2,341.99

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Solution

The fourth proportional to 2,777.86, 4,143.23 and 2,341.99 is: 3,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.86 : 4,143.23 = 2,341.99 : x
  2. Step 2: Convert to fraction form
    2,777.86/4,143.23 = 2,341.99/x
  3. Step 3: Cross multiply
    2,777.86x = 4,143.23 × 2,341.99
  4. Step 4: Simplify right side
    2,777.86x = 9,703,403.23
  5. Step 5: Solve for x
    x = 9,703,403.23/2,777.86
  6. Step 6: Final answer
    x = 3,493.12

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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.