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Finding the Fourth Proportional to 1,990.54, 2,984.05 and 1,065.25

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Solution

The fourth proportional to 1,990.54, 2,984.05 and 1,065.25 is: 1,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.54 : 2,984.05 = 1,065.25 : x
  2. Step 2: Convert to fraction form
    1,990.54/2,984.05 = 1,065.25/x
  3. Step 3: Cross multiply
    1,990.54x = 2,984.05 × 1,065.25
  4. Step 4: Simplify right side
    1,990.54x = 3,178,759.26
  5. Step 5: Solve for x
    x = 3,178,759.26/1,990.54
  6. Step 6: Final answer
    x = 1,596.93

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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.