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Finding the Fourth Proportional to 1,599.30, 2,206.54 and 936.15

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Solution

The fourth proportional to 1,599.30, 2,206.54 and 936.15 is: 1,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.30 : 2,206.54 = 936.15 : x
  2. Step 2: Convert to fraction form
    1,599.30/2,206.54 = 936.15/x
  3. Step 3: Cross multiply
    1,599.30x = 2,206.54 × 936.15
  4. Step 4: Simplify right side
    1,599.30x = 2,065,652.42
  5. Step 5: Solve for x
    x = 2,065,652.42/1,599.30
  6. Step 6: Final answer
    x = 1,291.60

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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.