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Finding the Fourth Proportional to 2,712.56, 4,069.28 and 981.60

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Solution

The fourth proportional to 2,712.56, 4,069.28 and 981.60 is: 1,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.56 : 4,069.28 = 981.60 : x
  2. Step 2: Convert to fraction form
    2,712.56/4,069.28 = 981.60/x
  3. Step 3: Cross multiply
    2,712.56x = 4,069.28 × 981.60
  4. Step 4: Simplify right side
    2,712.56x = 3,994,405.25
  5. Step 5: Solve for x
    x = 3,994,405.25/2,712.56
  6. Step 6: Final answer
    x = 1,472.56

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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.