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Finding the Fourth Proportional to 1,518.49, 2,278.38 and 788.57

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Solution

The fourth proportional to 1,518.49, 2,278.38 and 788.57 is: 1,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.49 : 2,278.38 = 788.57 : x
  2. Step 2: Convert to fraction form
    1,518.49/2,278.38 = 788.57/x
  3. Step 3: Cross multiply
    1,518.49x = 2,278.38 × 788.57
  4. Step 4: Simplify right side
    1,518.49x = 1,796,662.12
  5. Step 5: Solve for x
    x = 1,796,662.12/1,518.49
  6. Step 6: Final answer
    x = 1,183.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.