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Finding the Fourth Proportional to 2,053.31, 3,080.30 and 666.99

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Solution

The fourth proportional to 2,053.31, 3,080.30 and 666.99 is: 1,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.31 : 3,080.30 = 666.99 : x
  2. Step 2: Convert to fraction form
    2,053.31/3,080.30 = 666.99/x
  3. Step 3: Cross multiply
    2,053.31x = 3,080.30 × 666.99
  4. Step 4: Simplify right side
    2,053.31x = 2,054,525.96
  5. Step 5: Solve for x
    x = 2,054,525.96/2,053.31
  6. Step 6: Final answer
    x = 1,000.59

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