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Finding the Fourth Proportional to 3,111.54, 4,665.03 and 1,467.17

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Solution

The fourth proportional to 3,111.54, 4,665.03 and 1,467.17 is: 2,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.54 : 4,665.03 = 1,467.17 : x
  2. Step 2: Convert to fraction form
    3,111.54/4,665.03 = 1,467.17/x
  3. Step 3: Cross multiply
    3,111.54x = 4,665.03 × 1,467.17
  4. Step 4: Simplify right side
    3,111.54x = 6,844,368.74
  5. Step 5: Solve for x
    x = 6,844,368.74/3,111.54
  6. Step 6: Final answer
    x = 2,199.67

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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.