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Finding the Fourth Proportional to 2,535.21, 3,802.86 and 891.81

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Solution

The fourth proportional to 2,535.21, 3,802.86 and 891.81 is: 1,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.21 : 3,802.86 = 891.81 : x
  2. Step 2: Convert to fraction form
    2,535.21/3,802.86 = 891.81/x
  3. Step 3: Cross multiply
    2,535.21x = 3,802.86 × 891.81
  4. Step 4: Simplify right side
    2,535.21x = 3,391,428.58
  5. Step 5: Solve for x
    x = 3,391,428.58/2,535.21
  6. Step 6: Final answer
    x = 1,337.73

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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.