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Finding the Fourth Proportional to 1,976.82, 2,965.61 and 590.14

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Solution

The fourth proportional to 1,976.82, 2,965.61 and 590.14 is: 885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.82 : 2,965.61 = 590.14 : x
  2. Step 2: Convert to fraction form
    1,976.82/2,965.61 = 590.14/x
  3. Step 3: Cross multiply
    1,976.82x = 2,965.61 × 590.14
  4. Step 4: Simplify right side
    1,976.82x = 1,750,113.59
  5. Step 5: Solve for x
    x = 1,750,113.59/1,976.82
  6. Step 6: Final answer
    x = 885.32

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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.