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Finding the Fourth Proportional to 2,091.52, 3,137.64 and 705

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Solution

The fourth proportional to 2,091.52, 3,137.64 and 705 is: 1,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.52 : 3,137.64 = 705 : x
  2. Step 2: Convert to fraction form
    2,091.52/3,137.64 = 705/x
  3. Step 3: Cross multiply
    2,091.52x = 3,137.64 × 705
  4. Step 4: Simplify right side
    2,091.52x = 2,212,036.20
  5. Step 5: Solve for x
    x = 2,212,036.20/2,091.52
  6. Step 6: Final answer
    x = 1,057.62

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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.