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Finding the Fourth Proportional to 2,055.14, 3,080.95 and 944.20

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Solution

The fourth proportional to 2,055.14, 3,080.95 and 944.20 is: 1,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.14 : 3,080.95 = 944.20 : x
  2. Step 2: Convert to fraction form
    2,055.14/3,080.95 = 944.20/x
  3. Step 3: Cross multiply
    2,055.14x = 3,080.95 × 944.20
  4. Step 4: Simplify right side
    2,055.14x = 2,909,032.99
  5. Step 5: Solve for x
    x = 2,909,032.99/2,055.14
  6. Step 6: Final answer
    x = 1,415.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.