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Finding the Fourth Proportional to 1,990.75, 2,986.34 and 675.45

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Solution

The fourth proportional to 1,990.75, 2,986.34 and 675.45 is: 1,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.75 : 2,986.34 = 675.45 : x
  2. Step 2: Convert to fraction form
    1,990.75/2,986.34 = 675.45/x
  3. Step 3: Cross multiply
    1,990.75x = 2,986.34 × 675.45
  4. Step 4: Simplify right side
    1,990.75x = 2,017,123.35
  5. Step 5: Solve for x
    x = 2,017,123.35/1,990.75
  6. Step 6: Final answer
    x = 1,013.25

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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.