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Finding the Fourth Proportional to 2,832.52, 3,908.72 and 1,653.98

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Solution

The fourth proportional to 2,832.52, 3,908.72 and 1,653.98 is: 2,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.52 : 3,908.72 = 1,653.98 : x
  2. Step 2: Convert to fraction form
    2,832.52/3,908.72 = 1,653.98/x
  3. Step 3: Cross multiply
    2,832.52x = 3,908.72 × 1,653.98
  4. Step 4: Simplify right side
    2,832.52x = 6,464,944.71
  5. Step 5: Solve for x
    x = 6,464,944.71/2,832.52
  6. Step 6: Final answer
    x = 2,282.40

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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.