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Finding the Fourth Proportional to 3,091.16, 4,633.50 and 1,529

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Solution

The fourth proportional to 3,091.16, 4,633.50 and 1,529 is: 2,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.16 : 4,633.50 = 1,529 : x
  2. Step 2: Convert to fraction form
    3,091.16/4,633.50 = 1,529/x
  3. Step 3: Cross multiply
    3,091.16x = 4,633.50 × 1,529
  4. Step 4: Simplify right side
    3,091.16x = 7,084,621.50
  5. Step 5: Solve for x
    x = 7,084,621.50/3,091.16
  6. Step 6: Final answer
    x = 2,291.90

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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.