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Finding the Fourth Proportional to 1,313.55, 1,808.89 and 1,286.21

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Solution

The fourth proportional to 1,313.55, 1,808.89 and 1,286.21 is: 1,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.55 : 1,808.89 = 1,286.21 : x
  2. Step 2: Convert to fraction form
    1,313.55/1,808.89 = 1,286.21/x
  3. Step 3: Cross multiply
    1,313.55x = 1,808.89 × 1,286.21
  4. Step 4: Simplify right side
    1,313.55x = 2,326,613.71
  5. Step 5: Solve for x
    x = 2,326,613.71/1,313.55
  6. Step 6: Final answer
    x = 1,771.24

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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.