Home / 1,596.42-2,203.68-1,006.84

Finding the Fourth Proportional to 1,596.42, 2,203.68 and 1,006.84

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Solution

The fourth proportional to 1,596.42, 2,203.68 and 1,006.84 is: 1,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.42 : 2,203.68 = 1,006.84 : x
  2. Step 2: Convert to fraction form
    1,596.42/2,203.68 = 1,006.84/x
  3. Step 3: Cross multiply
    1,596.42x = 2,203.68 × 1,006.84
  4. Step 4: Simplify right side
    1,596.42x = 2,218,753.17
  5. Step 5: Solve for x
    x = 2,218,753.17/1,596.42
  6. Step 6: Final answer
    x = 1,389.83

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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.