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Finding the Fourth Proportional to 2,280.54, 3,145.32 and 1,533.99

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Solution

The fourth proportional to 2,280.54, 3,145.32 and 1,533.99 is: 2,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.54 : 3,145.32 = 1,533.99 : x
  2. Step 2: Convert to fraction form
    2,280.54/3,145.32 = 1,533.99/x
  3. Step 3: Cross multiply
    2,280.54x = 3,145.32 × 1,533.99
  4. Step 4: Simplify right side
    2,280.54x = 4,824,889.43
  5. Step 5: Solve for x
    x = 4,824,889.43/2,280.54
  6. Step 6: Final answer
    x = 2,115.68

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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.