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Finding the Fourth Proportional to 1,599.20, 2,206.80 and 936.08

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Solution

The fourth proportional to 1,599.20, 2,206.80 and 936.08 is: 1,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.20 : 2,206.80 = 936.08 : x
  2. Step 2: Convert to fraction form
    1,599.20/2,206.80 = 936.08/x
  3. Step 3: Cross multiply
    1,599.20x = 2,206.80 × 936.08
  4. Step 4: Simplify right side
    1,599.20x = 2,065,741.34
  5. Step 5: Solve for x
    x = 2,065,741.34/1,599.20
  6. Step 6: Final answer
    x = 1,291.73

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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.