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Finding the Fourth Proportional to 1,991.55, 2,985.60 and 758.64

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Solution

The fourth proportional to 1,991.55, 2,985.60 and 758.64 is: 1,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.55 : 2,985.60 = 758.64 : x
  2. Step 2: Convert to fraction form
    1,991.55/2,985.60 = 758.64/x
  3. Step 3: Cross multiply
    1,991.55x = 2,985.60 × 758.64
  4. Step 4: Simplify right side
    1,991.55x = 2,264,995.58
  5. Step 5: Solve for x
    x = 2,264,995.58/1,991.55
  6. Step 6: Final answer
    x = 1,137.30

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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.