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Finding the Fourth Proportional to 1,978.62, 2,967.92 and 1,858.34

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Solution

The fourth proportional to 1,978.62, 2,967.92 and 1,858.34 is: 2,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.62 : 2,967.92 = 1,858.34 : x
  2. Step 2: Convert to fraction form
    1,978.62/2,967.92 = 1,858.34/x
  3. Step 3: Cross multiply
    1,978.62x = 2,967.92 × 1,858.34
  4. Step 4: Simplify right side
    1,978.62x = 5,515,404.45
  5. Step 5: Solve for x
    x = 5,515,404.45/1,978.62
  6. Step 6: Final answer
    x = 2,787.50

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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.