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Finding the Fourth Proportional to 2,196.64, 3,294.96 and 1,284

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Solution

The fourth proportional to 2,196.64, 3,294.96 and 1,284 is: 1,926

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.64 : 3,294.96 = 1,284 : x
  2. Step 2: Convert to fraction form
    2,196.64/3,294.96 = 1,284/x
  3. Step 3: Cross multiply
    2,196.64x = 3,294.96 × 1,284
  4. Step 4: Simplify right side
    2,196.64x = 4,230,728.64
  5. Step 5: Solve for x
    x = 4,230,728.64/2,196.64
  6. Step 6: Final answer
    x = 1,926

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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.