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Finding the Fourth Proportional to 2,099.19, 3,148.05 and 618

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Solution

The fourth proportional to 2,099.19, 3,148.05 and 618 is: 926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.19 : 3,148.05 = 618 : x
  2. Step 2: Convert to fraction form
    2,099.19/3,148.05 = 618/x
  3. Step 3: Cross multiply
    2,099.19x = 3,148.05 × 618
  4. Step 4: Simplify right side
    2,099.19x = 1,945,494.90
  5. Step 5: Solve for x
    x = 1,945,494.90/2,099.19
  6. Step 6: Final answer
    x = 926.78

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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.