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Finding the Fourth Proportional to 1,995.42, 2,986.74 and 1,068.66

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Solution

The fourth proportional to 1,995.42, 2,986.74 and 1,068.66 is: 1,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.42 : 2,986.74 = 1,068.66 : x
  2. Step 2: Convert to fraction form
    1,995.42/2,986.74 = 1,068.66/x
  3. Step 3: Cross multiply
    1,995.42x = 2,986.74 × 1,068.66
  4. Step 4: Simplify right side
    1,995.42x = 3,191,809.57
  5. Step 5: Solve for x
    x = 3,191,809.57/1,995.42
  6. Step 6: Final answer
    x = 1,599.57

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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.