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Finding the Fourth Proportional to 2,717.57, 4,073.75 and 867.67

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Solution

The fourth proportional to 2,717.57, 4,073.75 and 867.67 is: 1,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.57 : 4,073.75 = 867.67 : x
  2. Step 2: Convert to fraction form
    2,717.57/4,073.75 = 867.67/x
  3. Step 3: Cross multiply
    2,717.57x = 4,073.75 × 867.67
  4. Step 4: Simplify right side
    2,717.57x = 3,534,670.66
  5. Step 5: Solve for x
    x = 3,534,670.66/2,717.57
  6. Step 6: Final answer
    x = 1,300.67

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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.