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Finding the Fourth Proportional to 1,990.27, 2,748.58 and 1,639.67

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Solution

The fourth proportional to 1,990.27, 2,748.58 and 1,639.67 is: 2,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.27 : 2,748.58 = 1,639.67 : x
  2. Step 2: Convert to fraction form
    1,990.27/2,748.58 = 1,639.67/x
  3. Step 3: Cross multiply
    1,990.27x = 2,748.58 × 1,639.67
  4. Step 4: Simplify right side
    1,990.27x = 4,506,753.56
  5. Step 5: Solve for x
    x = 4,506,753.56/1,990.27
  6. Step 6: Final answer
    x = 2,264.39

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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.