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Finding the Fourth Proportional to 2,156.64, 2,976.16 and 1,224.96

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Solution

The fourth proportional to 2,156.64, 2,976.16 and 1,224.96 is: 1,690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.64 : 2,976.16 = 1,224.96 : x
  2. Step 2: Convert to fraction form
    2,156.64/2,976.16 = 1,224.96/x
  3. Step 3: Cross multiply
    2,156.64x = 2,976.16 × 1,224.96
  4. Step 4: Simplify right side
    2,156.64x = 3,645,676.95
  5. Step 5: Solve for x
    x = 3,645,676.95/2,156.64
  6. Step 6: Final answer
    x = 1,690.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.