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Finding the Fourth Proportional to 2,053.36, 3,080.26 and 666.64

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Solution

The fourth proportional to 2,053.36, 3,080.26 and 666.64 is: 1,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.36 : 3,080.26 = 666.64 : x
  2. Step 2: Convert to fraction form
    2,053.36/3,080.26 = 666.64/x
  3. Step 3: Cross multiply
    2,053.36x = 3,080.26 × 666.64
  4. Step 4: Simplify right side
    2,053.36x = 2,053,424.53
  5. Step 5: Solve for x
    x = 2,053,424.53/2,053.36
  6. Step 6: Final answer
    x = 1,000.03

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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.