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Finding the Fourth Proportional to 2,061.58, 2,843.99 and 1,353.14

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Solution

The fourth proportional to 2,061.58, 2,843.99 and 1,353.14 is: 1,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.58 : 2,843.99 = 1,353.14 : x
  2. Step 2: Convert to fraction form
    2,061.58/2,843.99 = 1,353.14/x
  3. Step 3: Cross multiply
    2,061.58x = 2,843.99 × 1,353.14
  4. Step 4: Simplify right side
    2,061.58x = 3,848,316.63
  5. Step 5: Solve for x
    x = 3,848,316.63/2,061.58
  6. Step 6: Final answer
    x = 1,866.68

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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.