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Finding the Fourth Proportional to 2,039.90, 3,060.31 and 653.32

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Solution

The fourth proportional to 2,039.90, 3,060.31 and 653.32 is: 980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.90 : 3,060.31 = 653.32 : x
  2. Step 2: Convert to fraction form
    2,039.90/3,060.31 = 653.32/x
  3. Step 3: Cross multiply
    2,039.90x = 3,060.31 × 653.32
  4. Step 4: Simplify right side
    2,039.90x = 1,999,361.73
  5. Step 5: Solve for x
    x = 1,999,361.73/2,039.90
  6. Step 6: Final answer
    x = 980.13

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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.