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Finding the Fourth Proportional to 2,053.40, 3,080.38 and 666.29

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Solution

The fourth proportional to 2,053.40, 3,080.38 and 666.29 is: 999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.40 : 3,080.38 = 666.29 : x
  2. Step 2: Convert to fraction form
    2,053.40/3,080.38 = 666.29/x
  3. Step 3: Cross multiply
    2,053.40x = 3,080.38 × 666.29
  4. Step 4: Simplify right side
    2,053.40x = 2,052,420.68
  5. Step 5: Solve for x
    x = 2,052,420.68/2,053.40
  6. Step 6: Final answer
    x = 999.52

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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.