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Finding the Fourth Proportional to 1,990.90, 2,746.17 and 1,283.67

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Solution

The fourth proportional to 1,990.90, 2,746.17 and 1,283.67 is: 1,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.90 : 2,746.17 = 1,283.67 : x
  2. Step 2: Convert to fraction form
    1,990.90/2,746.17 = 1,283.67/x
  3. Step 3: Cross multiply
    1,990.90x = 2,746.17 × 1,283.67
  4. Step 4: Simplify right side
    1,990.90x = 3,525,176.04
  5. Step 5: Solve for x
    x = 3,525,176.04/1,990.90
  6. Step 6: Final answer
    x = 1,770.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.