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Finding the Fourth Proportional to 1,822.95, 2,734.56 and 590.33

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Solution

The fourth proportional to 1,822.95, 2,734.56 and 590.33 is: 885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.95 : 2,734.56 = 590.33 : x
  2. Step 2: Convert to fraction form
    1,822.95/2,734.56 = 590.33/x
  3. Step 3: Cross multiply
    1,822.95x = 2,734.56 × 590.33
  4. Step 4: Simplify right side
    1,822.95x = 1,614,279.13
  5. Step 5: Solve for x
    x = 1,614,279.13/1,822.95
  6. Step 6: Final answer
    x = 885.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.