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Finding the Fourth Proportional to 1,313.72, 1,815.22 and 1,267

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Solution

The fourth proportional to 1,313.72, 1,815.22 and 1,267 is: 1,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.72 : 1,815.22 = 1,267 : x
  2. Step 2: Convert to fraction form
    1,313.72/1,815.22 = 1,267/x
  3. Step 3: Cross multiply
    1,313.72x = 1,815.22 × 1,267
  4. Step 4: Simplify right side
    1,313.72x = 2,299,883.74
  5. Step 5: Solve for x
    x = 2,299,883.74/1,313.72
  6. Step 6: Final answer
    x = 1,750.67

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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.