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Finding the Fourth Proportional to 2,521.84, 3,784.20 and 1,367.68

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Solution

The fourth proportional to 2,521.84, 3,784.20 and 1,367.68 is: 2,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.84 : 3,784.20 = 1,367.68 : x
  2. Step 2: Convert to fraction form
    2,521.84/3,784.20 = 1,367.68/x
  3. Step 3: Cross multiply
    2,521.84x = 3,784.20 × 1,367.68
  4. Step 4: Simplify right side
    2,521.84x = 5,175,574.66
  5. Step 5: Solve for x
    x = 5,175,574.66/2,521.84
  6. Step 6: Final answer
    x = 2,052.30

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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.