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Finding the Fourth Proportional to 2,953.68, 4,074.92 and 1,694.06

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Solution

The fourth proportional to 2,953.68, 4,074.92 and 1,694.06 is: 2,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.68 : 4,074.92 = 1,694.06 : x
  2. Step 2: Convert to fraction form
    2,953.68/4,074.92 = 1,694.06/x
  3. Step 3: Cross multiply
    2,953.68x = 4,074.92 × 1,694.06
  4. Step 4: Simplify right side
    2,953.68x = 6,903,158.98
  5. Step 5: Solve for x
    x = 6,903,158.98/2,953.68
  6. Step 6: Final answer
    x = 2,337.14

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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.