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Finding the Fourth Proportional to 2,535.15, 3,802.31 and 891.31

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Solution

The fourth proportional to 2,535.15, 3,802.31 and 891.31 is: 1,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.15 : 3,802.31 = 891.31 : x
  2. Step 2: Convert to fraction form
    2,535.15/3,802.31 = 891.31/x
  3. Step 3: Cross multiply
    2,535.15x = 3,802.31 × 891.31
  4. Step 4: Simplify right side
    2,535.15x = 3,389,036.93
  5. Step 5: Solve for x
    x = 3,389,036.93/2,535.15
  6. Step 6: Final answer
    x = 1,336.82

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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.