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Finding the Fourth Proportional to 2,053.25, 3,080.18 and 666.12

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Solution

The fourth proportional to 2,053.25, 3,080.18 and 666.12 is: 999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.25 : 3,080.18 = 666.12 : x
  2. Step 2: Convert to fraction form
    2,053.25/3,080.18 = 666.12/x
  3. Step 3: Cross multiply
    2,053.25x = 3,080.18 × 666.12
  4. Step 4: Simplify right side
    2,053.25x = 2,051,766.17
  5. Step 5: Solve for x
    x = 2,051,766.17/2,053.25
  6. Step 6: Final answer
    x = 999.28

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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.