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Finding the Fourth Proportional to 2,703.92, 4,053 and 1,932.08

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Solution

The fourth proportional to 2,703.92, 4,053 and 1,932.08 is: 2,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.92 : 4,053 = 1,932.08 : x
  2. Step 2: Convert to fraction form
    2,703.92/4,053 = 1,932.08/x
  3. Step 3: Cross multiply
    2,703.92x = 4,053 × 1,932.08
  4. Step 4: Simplify right side
    2,703.92x = 7,830,720.24
  5. Step 5: Solve for x
    x = 7,830,720.24/2,703.92
  6. Step 6: Final answer
    x = 2,896.06

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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.