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Finding the Fourth Proportional to 2,070.63, 3,106.08 and 838.28

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Solution

The fourth proportional to 2,070.63, 3,106.08 and 838.28 is: 1,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.63 : 3,106.08 = 838.28 : x
  2. Step 2: Convert to fraction form
    2,070.63/3,106.08 = 838.28/x
  3. Step 3: Cross multiply
    2,070.63x = 3,106.08 × 838.28
  4. Step 4: Simplify right side
    2,070.63x = 2,603,772.51
  5. Step 5: Solve for x
    x = 2,603,772.51/2,070.63
  6. Step 6: Final answer
    x = 1,257.48

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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.