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Finding the Fourth Proportional to 2,832.66, 3,907.08 and 1,946.91

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Solution

The fourth proportional to 2,832.66, 3,907.08 and 1,946.91 is: 2,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.66 : 3,907.08 = 1,946.91 : x
  2. Step 2: Convert to fraction form
    2,832.66/3,907.08 = 1,946.91/x
  3. Step 3: Cross multiply
    2,832.66x = 3,907.08 × 1,946.91
  4. Step 4: Simplify right side
    2,832.66x = 7,606,733.12
  5. Step 5: Solve for x
    x = 7,606,733.12/2,832.66
  6. Step 6: Final answer
    x = 2,685.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.