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Finding the Fourth Proportional to 4,053.44, 6,081.60 and 1,280

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Solution

The fourth proportional to 4,053.44, 6,081.60 and 1,280 is: 1,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.44 : 6,081.60 = 1,280 : x
  2. Step 2: Convert to fraction form
    4,053.44/6,081.60 = 1,280/x
  3. Step 3: Cross multiply
    4,053.44x = 6,081.60 × 1,280
  4. Step 4: Simplify right side
    4,053.44x = 7,784,448
  5. Step 5: Solve for x
    x = 7,784,448/4,053.44
  6. Step 6: Final answer
    x = 1,920.45

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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.