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Finding the Fourth Proportional to 1,879.68, 2,819.88 and 646.80

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Solution

The fourth proportional to 1,879.68, 2,819.88 and 646.80 is: 970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.68 : 2,819.88 = 646.80 : x
  2. Step 2: Convert to fraction form
    1,879.68/2,819.88 = 646.80/x
  3. Step 3: Cross multiply
    1,879.68x = 2,819.88 × 646.80
  4. Step 4: Simplify right side
    1,879.68x = 1,823,898.38
  5. Step 5: Solve for x
    x = 1,823,898.38/1,879.68
  6. Step 6: Final answer
    x = 970.32

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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.