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Finding the Fourth Proportional to 2,582.19, 3,873.25 and 634.41

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Solution

The fourth proportional to 2,582.19, 3,873.25 and 634.41 is: 951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.19 : 3,873.25 = 634.41 : x
  2. Step 2: Convert to fraction form
    2,582.19/3,873.25 = 634.41/x
  3. Step 3: Cross multiply
    2,582.19x = 3,873.25 × 634.41
  4. Step 4: Simplify right side
    2,582.19x = 2,457,220.28
  5. Step 5: Solve for x
    x = 2,457,220.28/2,582.19
  6. Step 6: Final answer
    x = 951.60

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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.