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Finding the Fourth Proportional to 1,859.43, 2,559.57 and 1,607.24

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Solution

The fourth proportional to 1,859.43, 2,559.57 and 1,607.24 is: 2,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.43 : 2,559.57 = 1,607.24 : x
  2. Step 2: Convert to fraction form
    1,859.43/2,559.57 = 1,607.24/x
  3. Step 3: Cross multiply
    1,859.43x = 2,559.57 × 1,607.24
  4. Step 4: Simplify right side
    1,859.43x = 4,113,843.29
  5. Step 5: Solve for x
    x = 4,113,843.29/1,859.43
  6. Step 6: Final answer
    x = 2,212.42

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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.