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Finding the Fourth Proportional to 1,822.65, 2,514.35 and 1,573.92

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Solution

The fourth proportional to 1,822.65, 2,514.35 and 1,573.92 is: 2,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.65 : 2,514.35 = 1,573.92 : x
  2. Step 2: Convert to fraction form
    1,822.65/2,514.35 = 1,573.92/x
  3. Step 3: Cross multiply
    1,822.65x = 2,514.35 × 1,573.92
  4. Step 4: Simplify right side
    1,822.65x = 3,957,377.88
  5. Step 5: Solve for x
    x = 3,957,377.88/1,822.65
  6. Step 6: Final answer
    x = 2,171.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.