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Finding the Fourth Proportional to 1,786.42, 2,465.92 and 1,599.58

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Solution

The fourth proportional to 1,786.42, 2,465.92 and 1,599.58 is: 2,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.42 : 2,465.92 = 1,599.58 : x
  2. Step 2: Convert to fraction form
    1,786.42/2,465.92 = 1,599.58/x
  3. Step 3: Cross multiply
    1,786.42x = 2,465.92 × 1,599.58
  4. Step 4: Simplify right side
    1,786.42x = 3,944,436.31
  5. Step 5: Solve for x
    x = 3,944,436.31/1,786.42
  6. Step 6: Final answer
    x = 2,208.01

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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.