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Finding the Fourth Proportional to 1,828.71, 2,743.07 and 596.12

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Solution

The fourth proportional to 1,828.71, 2,743.07 and 596.12 is: 894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.71 : 2,743.07 = 596.12 : x
  2. Step 2: Convert to fraction form
    1,828.71/2,743.07 = 596.12/x
  3. Step 3: Cross multiply
    1,828.71x = 2,743.07 × 596.12
  4. Step 4: Simplify right side
    1,828.71x = 1,635,182.19
  5. Step 5: Solve for x
    x = 1,635,182.19/1,828.71
  6. Step 6: Final answer
    x = 894.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.