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Finding the Fourth Proportional to 2,535.84, 3,804.71 and 1,367.15

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Solution

The fourth proportional to 2,535.84, 3,804.71 and 1,367.15 is: 2,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.84 : 3,804.71 = 1,367.15 : x
  2. Step 2: Convert to fraction form
    2,535.84/3,804.71 = 1,367.15/x
  3. Step 3: Cross multiply
    2,535.84x = 3,804.71 × 1,367.15
  4. Step 4: Simplify right side
    2,535.84x = 5,201,583.42
  5. Step 5: Solve for x
    x = 5,201,583.42/2,535.84
  6. Step 6: Final answer
    x = 2,051.23

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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.