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Finding the Fourth Proportional to 1,995.84, 2,993.94 and 534.78

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Solution

The fourth proportional to 1,995.84, 2,993.94 and 534.78 is: 802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.84 : 2,993.94 = 534.78 : x
  2. Step 2: Convert to fraction form
    1,995.84/2,993.94 = 534.78/x
  3. Step 3: Cross multiply
    1,995.84x = 2,993.94 × 534.78
  4. Step 4: Simplify right side
    1,995.84x = 1,601,099.23
  5. Step 5: Solve for x
    x = 1,601,099.23/1,995.84
  6. Step 6: Final answer
    x = 802.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.