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Finding the Fourth Proportional to 1,822.56, 2,514.84 and 1,036.62

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Solution

The fourth proportional to 1,822.56, 2,514.84 and 1,036.62 is: 1,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.56 : 2,514.84 = 1,036.62 : x
  2. Step 2: Convert to fraction form
    1,822.56/2,514.84 = 1,036.62/x
  3. Step 3: Cross multiply
    1,822.56x = 2,514.84 × 1,036.62
  4. Step 4: Simplify right side
    1,822.56x = 2,606,933.44
  5. Step 5: Solve for x
    x = 2,606,933.44/1,822.56
  6. Step 6: Final answer
    x = 1,430.37

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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.