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Finding the Fourth Proportional to 2,053.38, 3,080.75 and 666.76

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Solution

The fourth proportional to 2,053.38, 3,080.75 and 666.76 is: 1,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.38 : 3,080.75 = 666.76 : x
  2. Step 2: Convert to fraction form
    2,053.38/3,080.75 = 666.76/x
  3. Step 3: Cross multiply
    2,053.38x = 3,080.75 × 666.76
  4. Step 4: Simplify right side
    2,053.38x = 2,054,120.87
  5. Step 5: Solve for x
    x = 2,054,120.87/2,053.38
  6. Step 6: Final answer
    x = 1,000.36

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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.