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Finding the Fourth Proportional to 2,824.50, 3,897.81 and 1,720.50

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Solution

The fourth proportional to 2,824.50, 3,897.81 and 1,720.50 is: 2,374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.50 : 3,897.81 = 1,720.50 : x
  2. Step 2: Convert to fraction form
    2,824.50/3,897.81 = 1,720.50/x
  3. Step 3: Cross multiply
    2,824.50x = 3,897.81 × 1,720.50
  4. Step 4: Simplify right side
    2,824.50x = 6,706,182.11
  5. Step 5: Solve for x
    x = 6,706,182.11/2,824.50
  6. Step 6: Final answer
    x = 2,374.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.