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Finding the Fourth Proportional to 2,950.98, 4,063.95 and 2,942.07

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Solution

The fourth proportional to 2,950.98, 4,063.95 and 2,942.07 is: 4,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.98 : 4,063.95 = 2,942.07 : x
  2. Step 2: Convert to fraction form
    2,950.98/4,063.95 = 2,942.07/x
  3. Step 3: Cross multiply
    2,950.98x = 4,063.95 × 2,942.07
  4. Step 4: Simplify right side
    2,950.98x = 11,956,425.38
  5. Step 5: Solve for x
    x = 11,956,425.38/2,950.98
  6. Step 6: Final answer
    x = 4,051.68

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1.5x scale

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.