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Finding the Fourth Proportional to 1,879.71, 2,819.60 and 647.18

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Solution

The fourth proportional to 1,879.71, 2,819.60 and 647.18 is: 970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.71 : 2,819.60 = 647.18 : x
  2. Step 2: Convert to fraction form
    1,879.71/2,819.60 = 647.18/x
  3. Step 3: Cross multiply
    1,879.71x = 2,819.60 × 647.18
  4. Step 4: Simplify right side
    1,879.71x = 1,824,788.73
  5. Step 5: Solve for x
    x = 1,824,788.73/1,879.71
  6. Step 6: Final answer
    x = 970.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.