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Finding the Fourth Proportional to 2,949.91, 4,071.06 and 1,690.63

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Solution

The fourth proportional to 2,949.91, 4,071.06 and 1,690.63 is: 2,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.91 : 4,071.06 = 1,690.63 : x
  2. Step 2: Convert to fraction form
    2,949.91/4,071.06 = 1,690.63/x
  3. Step 3: Cross multiply
    2,949.91x = 4,071.06 × 1,690.63
  4. Step 4: Simplify right side
    2,949.91x = 6,882,645.99
  5. Step 5: Solve for x
    x = 6,882,645.99/2,949.91
  6. Step 6: Final answer
    x = 2,333.17

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