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Finding the Fourth Proportional to 1,885.92, 2,824.56 and 1,309.20

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Solution

The fourth proportional to 1,885.92, 2,824.56 and 1,309.20 is: 1,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.92 : 2,824.56 = 1,309.20 : x
  2. Step 2: Convert to fraction form
    1,885.92/2,824.56 = 1,309.20/x
  3. Step 3: Cross multiply
    1,885.92x = 2,824.56 × 1,309.20
  4. Step 4: Simplify right side
    1,885.92x = 3,697,913.95
  5. Step 5: Solve for x
    x = 3,697,913.95/1,885.92
  6. Step 6: Final answer
    x = 1,960.80

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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.