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Finding the Fourth Proportional to 1,978.17, 2,728.06 and 1,698.31

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Solution

The fourth proportional to 1,978.17, 2,728.06 and 1,698.31 is: 2,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.17 : 2,728.06 = 1,698.31 : x
  2. Step 2: Convert to fraction form
    1,978.17/2,728.06 = 1,698.31/x
  3. Step 3: Cross multiply
    1,978.17x = 2,728.06 × 1,698.31
  4. Step 4: Simplify right side
    1,978.17x = 4,633,100.30
  5. Step 5: Solve for x
    x = 4,633,100.30/1,978.17
  6. Step 6: Final answer
    x = 2,342.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.