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Finding the Fourth Proportional to 1,832.02, 2,746.02 and 857.32

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Solution

The fourth proportional to 1,832.02, 2,746.02 and 857.32 is: 1,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.02 : 2,746.02 = 857.32 : x
  2. Step 2: Convert to fraction form
    1,832.02/2,746.02 = 857.32/x
  3. Step 3: Cross multiply
    1,832.02x = 2,746.02 × 857.32
  4. Step 4: Simplify right side
    1,832.02x = 2,354,217.87
  5. Step 5: Solve for x
    x = 2,354,217.87/1,832.02
  6. Step 6: Final answer
    x = 1,285.04

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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.