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Finding the Fourth Proportional to 1,879.41, 2,819.57 and 646.83

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Solution

The fourth proportional to 1,879.41, 2,819.57 and 646.83 is: 970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.41 : 2,819.57 = 646.83 : x
  2. Step 2: Convert to fraction form
    1,879.41/2,819.57 = 646.83/x
  3. Step 3: Cross multiply
    1,879.41x = 2,819.57 × 646.83
  4. Step 4: Simplify right side
    1,879.41x = 1,823,779.23
  5. Step 5: Solve for x
    x = 1,823,779.23/1,879.41
  6. Step 6: Final answer
    x = 970.40

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1.5x scale

Why These Related Problems?

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