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Finding the Fourth Proportional to 2,978.72, 4,112.70 and 1,859.90

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Solution

The fourth proportional to 2,978.72, 4,112.70 and 1,859.90 is: 2,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.72 : 4,112.70 = 1,859.90 : x
  2. Step 2: Convert to fraction form
    2,978.72/4,112.70 = 1,859.90/x
  3. Step 3: Cross multiply
    2,978.72x = 4,112.70 × 1,859.90
  4. Step 4: Simplify right side
    2,978.72x = 7,649,210.73
  5. Step 5: Solve for x
    x = 7,649,210.73/2,978.72
  6. Step 6: Final answer
    x = 2,567.95

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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.