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Finding the Fourth Proportional to 2,955.64, 4,080.42 and 1,777

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Solution

The fourth proportional to 2,955.64, 4,080.42 and 1,777 is: 2,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.64 : 4,080.42 = 1,777 : x
  2. Step 2: Convert to fraction form
    2,955.64/4,080.42 = 1,777/x
  3. Step 3: Cross multiply
    2,955.64x = 4,080.42 × 1,777
  4. Step 4: Simplify right side
    2,955.64x = 7,250,906.34
  5. Step 5: Solve for x
    x = 7,250,906.34/2,955.64
  6. Step 6: Final answer
    x = 2,453.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.