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Finding the Fourth Proportional to 1,662.18, 2,494.59 and 883.14

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Solution

The fourth proportional to 1,662.18, 2,494.59 and 883.14 is: 1,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.18 : 2,494.59 = 883.14 : x
  2. Step 2: Convert to fraction form
    1,662.18/2,494.59 = 883.14/x
  3. Step 3: Cross multiply
    1,662.18x = 2,494.59 × 883.14
  4. Step 4: Simplify right side
    1,662.18x = 2,203,072.21
  5. Step 5: Solve for x
    x = 2,203,072.21/1,662.18
  6. Step 6: Final answer
    x = 1,325.41

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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.