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Finding the Fourth Proportional to 2,115.20, 3,172.80 and 654.36

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Solution

The fourth proportional to 2,115.20, 3,172.80 and 654.36 is: 981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.20 : 3,172.80 = 654.36 : x
  2. Step 2: Convert to fraction form
    2,115.20/3,172.80 = 654.36/x
  3. Step 3: Cross multiply
    2,115.20x = 3,172.80 × 654.36
  4. Step 4: Simplify right side
    2,115.20x = 2,076,153.41
  5. Step 5: Solve for x
    x = 2,076,153.41/2,115.20
  6. Step 6: Final answer
    x = 981.54

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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.