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Finding the Fourth Proportional to 1,879.40, 2,815.05 and 1,674.20

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Solution

The fourth proportional to 1,879.40, 2,815.05 and 1,674.20 is: 2,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.40 : 2,815.05 = 1,674.20 : x
  2. Step 2: Convert to fraction form
    1,879.40/2,815.05 = 1,674.20/x
  3. Step 3: Cross multiply
    1,879.40x = 2,815.05 × 1,674.20
  4. Step 4: Simplify right side
    1,879.40x = 4,712,956.71
  5. Step 5: Solve for x
    x = 4,712,956.71/1,879.40
  6. Step 6: Final answer
    x = 2,507.69

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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.