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Finding the Fourth Proportional to 2,551.90, 3,824.65 and 1,381.90

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Solution

The fourth proportional to 2,551.90, 3,824.65 and 1,381.90 is: 2,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.90 : 3,824.65 = 1,381.90 : x
  2. Step 2: Convert to fraction form
    2,551.90/3,824.65 = 1,381.90/x
  3. Step 3: Cross multiply
    2,551.90x = 3,824.65 × 1,381.90
  4. Step 4: Simplify right side
    2,551.90x = 5,285,283.84
  5. Step 5: Solve for x
    x = 5,285,283.84/2,551.90
  6. Step 6: Final answer
    x = 2,071.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.