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Finding the Fourth Proportional to 1,467.17, 2,199.35 and 492.57

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Solution

The fourth proportional to 1,467.17, 2,199.35 and 492.57 is: 738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.17 : 2,199.35 = 492.57 : x
  2. Step 2: Convert to fraction form
    1,467.17/2,199.35 = 492.57/x
  3. Step 3: Cross multiply
    1,467.17x = 2,199.35 × 492.57
  4. Step 4: Simplify right side
    1,467.17x = 1,083,331.37
  5. Step 5: Solve for x
    x = 1,083,331.37/1,467.17
  6. Step 6: Final answer
    x = 738.38

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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.