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Finding the Fourth Proportional to 1,828.74, 2,742.81 and 596.25

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Solution

The fourth proportional to 1,828.74, 2,742.81 and 596.25 is: 894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.74 : 2,742.81 = 596.25 : x
  2. Step 2: Convert to fraction form
    1,828.74/2,742.81 = 596.25/x
  3. Step 3: Cross multiply
    1,828.74x = 2,742.81 × 596.25
  4. Step 4: Simplify right side
    1,828.74x = 1,635,400.46
  5. Step 5: Solve for x
    x = 1,635,400.46/1,828.74
  6. Step 6: Final answer
    x = 894.28

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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.