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Finding the Fourth Proportional to 1,317.58, 1,965.24 and 1,241.44

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Solution

The fourth proportional to 1,317.58, 1,965.24 and 1,241.44 is: 1,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.58 : 1,965.24 = 1,241.44 : x
  2. Step 2: Convert to fraction form
    1,317.58/1,965.24 = 1,241.44/x
  3. Step 3: Cross multiply
    1,317.58x = 1,965.24 × 1,241.44
  4. Step 4: Simplify right side
    1,317.58x = 2,439,727.55
  5. Step 5: Solve for x
    x = 2,439,727.55/1,317.58
  6. Step 6: Final answer
    x = 1,851.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.