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Finding the Fourth Proportional to 2,070.44, 3,106.68 and 838.70

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Solution

The fourth proportional to 2,070.44, 3,106.68 and 838.70 is: 1,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.44 : 3,106.68 = 838.70 : x
  2. Step 2: Convert to fraction form
    2,070.44/3,106.68 = 838.70/x
  3. Step 3: Cross multiply
    2,070.44x = 3,106.68 × 838.70
  4. Step 4: Simplify right side
    2,070.44x = 2,605,572.52
  5. Step 5: Solve for x
    x = 2,605,572.52/2,070.44
  6. Step 6: Final answer
    x = 1,258.46

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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.