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Finding the Fourth Proportional to 2,028.32, 3,042.80 and 660

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Solution

The fourth proportional to 2,028.32, 3,042.80 and 660 is: 990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.32 : 3,042.80 = 660 : x
  2. Step 2: Convert to fraction form
    2,028.32/3,042.80 = 660/x
  3. Step 3: Cross multiply
    2,028.32x = 3,042.80 × 660
  4. Step 4: Simplify right side
    2,028.32x = 2,008,248.00
  5. Step 5: Solve for x
    x = 2,008,248.00/2,028.32
  6. Step 6: Final answer
    x = 990.10

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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.