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Finding the Fourth Proportional to 1,976.91, 2,965.53 and 590.15

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Solution

The fourth proportional to 1,976.91, 2,965.53 and 590.15 is: 885.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.91 : 2,965.53 = 590.15 : x
  2. Step 2: Convert to fraction form
    1,976.91/2,965.53 = 590.15/x
  3. Step 3: Cross multiply
    1,976.91x = 2,965.53 × 590.15
  4. Step 4: Simplify right side
    1,976.91x = 1,750,092.70
  5. Step 5: Solve for x
    x = 1,750,092.70/1,976.91
  6. Step 6: Final answer
    x = 885.27

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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.