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Finding the Fourth Proportional to 1,317.58, 1,972.99 and 1,278.64

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Solution

The fourth proportional to 1,317.58, 1,972.99 and 1,278.64 is: 1,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.58 : 1,972.99 = 1,278.64 : x
  2. Step 2: Convert to fraction form
    1,317.58/1,972.99 = 1,278.64/x
  3. Step 3: Cross multiply
    1,317.58x = 1,972.99 × 1,278.64
  4. Step 4: Simplify right side
    1,317.58x = 2,522,743.93
  5. Step 5: Solve for x
    x = 2,522,743.93/1,317.58
  6. Step 6: Final answer
    x = 1,914.68

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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.