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Finding the Fourth Proportional to 1,933.58, 2,662.25 and 1,706.20

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Solution

The fourth proportional to 1,933.58, 2,662.25 and 1,706.20 is: 2,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.58 : 2,662.25 = 1,706.20 : x
  2. Step 2: Convert to fraction form
    1,933.58/2,662.25 = 1,706.20/x
  3. Step 3: Cross multiply
    1,933.58x = 2,662.25 × 1,706.20
  4. Step 4: Simplify right side
    1,933.58x = 4,542,315.76
  5. Step 5: Solve for x
    x = 4,542,315.76/1,933.58
  6. Step 6: Final answer
    x = 2,349.17

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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.