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Finding the Fourth Proportional to 3,122.59, 4,308.52 and 1,828.83

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Solution

The fourth proportional to 3,122.59, 4,308.52 and 1,828.83 is: 2,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.59 : 4,308.52 = 1,828.83 : x
  2. Step 2: Convert to fraction form
    3,122.59/4,308.52 = 1,828.83/x
  3. Step 3: Cross multiply
    3,122.59x = 4,308.52 × 1,828.83
  4. Step 4: Simplify right side
    3,122.59x = 7,879,550.63
  5. Step 5: Solve for x
    x = 7,879,550.63/3,122.59
  6. Step 6: Final answer
    x = 2,523.40

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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.