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Finding the Fourth Proportional to 2,070, 3,106.62 and 1,096.44

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Solution

The fourth proportional to 2,070, 3,106.62 and 1,096.44 is: 1,645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070 : 3,106.62 = 1,096.44 : x
  2. Step 2: Convert to fraction form
    2,070/3,106.62 = 1,096.44/x
  3. Step 3: Cross multiply
    2,070x = 3,106.62 × 1,096.44
  4. Step 4: Simplify right side
    2,070x = 3,406,222.43
  5. Step 5: Solve for x
    x = 3,406,222.43/2,070
  6. Step 6: Final answer
    x = 1,645.52

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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.