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Finding the Fourth Proportional to 2,613, 3,605.49 and 1,728.33

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Solution

The fourth proportional to 2,613, 3,605.49 and 1,728.33 is: 2,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613 : 3,605.49 = 1,728.33 : x
  2. Step 2: Convert to fraction form
    2,613/3,605.49 = 1,728.33/x
  3. Step 3: Cross multiply
    2,613x = 3,605.49 × 1,728.33
  4. Step 4: Simplify right side
    2,613x = 6,231,476.53
  5. Step 5: Solve for x
    x = 6,231,476.53/2,613
  6. Step 6: Final answer
    x = 2,384.80

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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.