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Finding the Fourth Proportional to 2,942.84, 4,061.04 and 1,700.84

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Solution

The fourth proportional to 2,942.84, 4,061.04 and 1,700.84 is: 2,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.84 : 4,061.04 = 1,700.84 : x
  2. Step 2: Convert to fraction form
    2,942.84/4,061.04 = 1,700.84/x
  3. Step 3: Cross multiply
    2,942.84x = 4,061.04 × 1,700.84
  4. Step 4: Simplify right side
    2,942.84x = 6,907,179.27
  5. Step 5: Solve for x
    x = 6,907,179.27/2,942.84
  6. Step 6: Final answer
    x = 2,347.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.