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Finding the Fourth Proportional to 1,614.39, 2,227.79 and 896.53

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Solution

The fourth proportional to 1,614.39, 2,227.79 and 896.53 is: 1,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.39 : 2,227.79 = 896.53 : x
  2. Step 2: Convert to fraction form
    1,614.39/2,227.79 = 896.53/x
  3. Step 3: Cross multiply
    1,614.39x = 2,227.79 × 896.53
  4. Step 4: Simplify right side
    1,614.39x = 1,997,264.95
  5. Step 5: Solve for x
    x = 1,997,264.95/1,614.39
  6. Step 6: Final answer
    x = 1,237.16

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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.