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Finding the Fourth Proportional to 2,920.80, 4,387.60 and 2,056.80

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Solution

The fourth proportional to 2,920.80, 4,387.60 and 2,056.80 is: 3,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.80 : 4,387.60 = 2,056.80 : x
  2. Step 2: Convert to fraction form
    2,920.80/4,387.60 = 2,056.80/x
  3. Step 3: Cross multiply
    2,920.80x = 4,387.60 × 2,056.80
  4. Step 4: Simplify right side
    2,920.80x = 9,024,415.68
  5. Step 5: Solve for x
    x = 9,024,415.68/2,920.80
  6. Step 6: Final answer
    x = 3,089.71

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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.