Home / 1,596.90-2,203.77-933.78

Finding the Fourth Proportional to 1,596.90, 2,203.77 and 933.78

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Solution

The fourth proportional to 1,596.90, 2,203.77 and 933.78 is: 1,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.90 : 2,203.77 = 933.78 : x
  2. Step 2: Convert to fraction form
    1,596.90/2,203.77 = 933.78/x
  3. Step 3: Cross multiply
    1,596.90x = 2,203.77 × 933.78
  4. Step 4: Simplify right side
    1,596.90x = 2,057,836.35
  5. Step 5: Solve for x
    x = 2,057,836.35/1,596.90
  6. Step 6: Final answer
    x = 1,288.64

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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.