Home / 1,596.15-2,202.67-897.52

Finding the Fourth Proportional to 1,596.15, 2,202.67 and 897.52

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Solution

The fourth proportional to 1,596.15, 2,202.67 and 897.52 is: 1,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.15 : 2,202.67 = 897.52 : x
  2. Step 2: Convert to fraction form
    1,596.15/2,202.67 = 897.52/x
  3. Step 3: Cross multiply
    1,596.15x = 2,202.67 × 897.52
  4. Step 4: Simplify right side
    1,596.15x = 1,976,940.38
  5. Step 5: Solve for x
    x = 1,976,940.38/1,596.15
  6. Step 6: Final answer
    x = 1,238.57

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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.