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Finding the Fourth Proportional to 1,822.89, 2,734.80 and 590.47

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Solution

The fourth proportional to 1,822.89, 2,734.80 and 590.47 is: 885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.89 : 2,734.80 = 590.47 : x
  2. Step 2: Convert to fraction form
    1,822.89/2,734.80 = 590.47/x
  3. Step 3: Cross multiply
    1,822.89x = 2,734.80 × 590.47
  4. Step 4: Simplify right side
    1,822.89x = 1,614,817.36
  5. Step 5: Solve for x
    x = 1,614,817.36/1,822.89
  6. Step 6: Final answer
    x = 885.86

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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.