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Finding the Fourth Proportional to 1,978.57, 2,728.62 and 1,698.72

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Solution

The fourth proportional to 1,978.57, 2,728.62 and 1,698.72 is: 2,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.57 : 2,728.62 = 1,698.72 : x
  2. Step 2: Convert to fraction form
    1,978.57/2,728.62 = 1,698.72/x
  3. Step 3: Cross multiply
    1,978.57x = 2,728.62 × 1,698.72
  4. Step 4: Simplify right side
    1,978.57x = 4,635,160.92
  5. Step 5: Solve for x
    x = 4,635,160.92/1,978.57
  6. Step 6: Final answer
    x = 2,342.68

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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.