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Finding the Fourth Proportional to 1,662.84, 2,496.15 and 842.04

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Solution

The fourth proportional to 1,662.84, 2,496.15 and 842.04 is: 1,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.84 : 2,496.15 = 842.04 : x
  2. Step 2: Convert to fraction form
    1,662.84/2,496.15 = 842.04/x
  3. Step 3: Cross multiply
    1,662.84x = 2,496.15 × 842.04
  4. Step 4: Simplify right side
    1,662.84x = 2,101,858.15
  5. Step 5: Solve for x
    x = 2,101,858.15/1,662.84
  6. Step 6: Final answer
    x = 1,264.02

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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.