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Finding the Fourth Proportional to 2,232.34, 3,081 and 1,300.84

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Solution

The fourth proportional to 2,232.34, 3,081 and 1,300.84 is: 1,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.34 : 3,081 = 1,300.84 : x
  2. Step 2: Convert to fraction form
    2,232.34/3,081 = 1,300.84/x
  3. Step 3: Cross multiply
    2,232.34x = 3,081 × 1,300.84
  4. Step 4: Simplify right side
    2,232.34x = 4,007,888.04
  5. Step 5: Solve for x
    x = 4,007,888.04/2,232.34
  6. Step 6: Final answer
    x = 1,795.38

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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.