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Finding the Fourth Proportional to 1,620.69, 2,236.74 and 912.54

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Solution

The fourth proportional to 1,620.69, 2,236.74 and 912.54 is: 1,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.69 : 2,236.74 = 912.54 : x
  2. Step 2: Convert to fraction form
    1,620.69/2,236.74 = 912.54/x
  3. Step 3: Cross multiply
    1,620.69x = 2,236.74 × 912.54
  4. Step 4: Simplify right side
    1,620.69x = 2,041,114.72
  5. Step 5: Solve for x
    x = 2,041,114.72/1,620.69
  6. Step 6: Final answer
    x = 1,259.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.