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Finding the Fourth Proportional to 1,634.79, 2,255.49 and 926.57

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Solution

The fourth proportional to 1,634.79, 2,255.49 and 926.57 is: 1,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.79 : 2,255.49 = 926.57 : x
  2. Step 2: Convert to fraction form
    1,634.79/2,255.49 = 926.57/x
  3. Step 3: Cross multiply
    1,634.79x = 2,255.49 × 926.57
  4. Step 4: Simplify right side
    1,634.79x = 2,089,875.01
  5. Step 5: Solve for x
    x = 2,089,875.01/1,634.79
  6. Step 6: Final answer
    x = 1,278.38

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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.