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Finding the Fourth Proportional to 1,613.93, 2,227.70 and 1,024.65

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Solution

The fourth proportional to 1,613.93, 2,227.70 and 1,024.65 is: 1,414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.93 : 2,227.70 = 1,024.65 : x
  2. Step 2: Convert to fraction form
    1,613.93/2,227.70 = 1,024.65/x
  3. Step 3: Cross multiply
    1,613.93x = 2,227.70 × 1,024.65
  4. Step 4: Simplify right side
    1,613.93x = 2,282,615.37
  5. Step 5: Solve for x
    x = 2,282,615.37/1,613.93
  6. Step 6: Final answer
    x = 1,414.33

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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.