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Finding the Fourth Proportional to 1,985.31, 2,976.35 and 830.25

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Solution

The fourth proportional to 1,985.31, 2,976.35 and 830.25 is: 1,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.31 : 2,976.35 = 830.25 : x
  2. Step 2: Convert to fraction form
    1,985.31/2,976.35 = 830.25/x
  3. Step 3: Cross multiply
    1,985.31x = 2,976.35 × 830.25
  4. Step 4: Simplify right side
    1,985.31x = 2,471,110.44
  5. Step 5: Solve for x
    x = 2,471,110.44/1,985.31
  6. Step 6: Final answer
    x = 1,244.70

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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.