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Finding the Fourth Proportional to 1,985.52, 2,979.80 and 832.08

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Solution

The fourth proportional to 1,985.52, 2,979.80 and 832.08 is: 1,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.52 : 2,979.80 = 832.08 : x
  2. Step 2: Convert to fraction form
    1,985.52/2,979.80 = 832.08/x
  3. Step 3: Cross multiply
    1,985.52x = 2,979.80 × 832.08
  4. Step 4: Simplify right side
    1,985.52x = 2,479,431.98
  5. Step 5: Solve for x
    x = 2,479,431.98/1,985.52
  6. Step 6: Final answer
    x = 1,248.76

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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.