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Finding the Fourth Proportional to 2,009.46, 2,998.65 and 1,766.46

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Solution

The fourth proportional to 2,009.46, 2,998.65 and 1,766.46 is: 2,636.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.46 : 2,998.65 = 1,766.46 : x
  2. Step 2: Convert to fraction form
    2,009.46/2,998.65 = 1,766.46/x
  3. Step 3: Cross multiply
    2,009.46x = 2,998.65 × 1,766.46
  4. Step 4: Simplify right side
    2,009.46x = 5,296,995.28
  5. Step 5: Solve for x
    x = 5,296,995.28/2,009.46
  6. Step 6: Final answer
    x = 2,636.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.