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Finding the Fourth Proportional to 2,152.02, 2,971.44 and 1,563.96

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Solution

The fourth proportional to 2,152.02, 2,971.44 and 1,563.96 is: 2,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.02 : 2,971.44 = 1,563.96 : x
  2. Step 2: Convert to fraction form
    2,152.02/2,971.44 = 1,563.96/x
  3. Step 3: Cross multiply
    2,152.02x = 2,971.44 × 1,563.96
  4. Step 4: Simplify right side
    2,152.02x = 4,647,213.30
  5. Step 5: Solve for x
    x = 4,647,213.30/2,152.02
  6. Step 6: Final answer
    x = 2,159.47

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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.