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Finding the Fourth Proportional to 2,070.71, 3,106.70 and 665.33

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Solution

The fourth proportional to 2,070.71, 3,106.70 and 665.33 is: 998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.71 : 3,106.70 = 665.33 : x
  2. Step 2: Convert to fraction form
    2,070.71/3,106.70 = 665.33/x
  3. Step 3: Cross multiply
    2,070.71x = 3,106.70 × 665.33
  4. Step 4: Simplify right side
    2,070.71x = 2,066,980.71
  5. Step 5: Solve for x
    x = 2,066,980.71/2,070.71
  6. Step 6: Final answer
    x = 998.20

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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.