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Finding the Fourth Proportional to 2,056.56, 3,080.04 and 1,014.64

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Solution

The fourth proportional to 2,056.56, 3,080.04 and 1,014.64 is: 1,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.56 : 3,080.04 = 1,014.64 : x
  2. Step 2: Convert to fraction form
    2,056.56/3,080.04 = 1,014.64/x
  3. Step 3: Cross multiply
    2,056.56x = 3,080.04 × 1,014.64
  4. Step 4: Simplify right side
    2,056.56x = 3,125,131.79
  5. Step 5: Solve for x
    x = 3,125,131.79/2,056.56
  6. Step 6: Final answer
    x = 1,519.59

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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.