Home / 1,596.12-2,202.65-897.45

Finding the Fourth Proportional to 1,596.12, 2,202.65 and 897.45

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Solution

The fourth proportional to 1,596.12, 2,202.65 and 897.45 is: 1,238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.12 : 2,202.65 = 897.45 : x
  2. Step 2: Convert to fraction form
    1,596.12/2,202.65 = 897.45/x
  3. Step 3: Cross multiply
    1,596.12x = 2,202.65 × 897.45
  4. Step 4: Simplify right side
    1,596.12x = 1,976,768.24
  5. Step 5: Solve for x
    x = 1,976,768.24/1,596.12
  6. Step 6: Final answer
    x = 1,238.48

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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.