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Finding the Fourth Proportional to 1,855.66, 2,783.49 and 828.94

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Solution

The fourth proportional to 1,855.66, 2,783.49 and 828.94 is: 1,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.66 : 2,783.49 = 828.94 : x
  2. Step 2: Convert to fraction form
    1,855.66/2,783.49 = 828.94/x
  3. Step 3: Cross multiply
    1,855.66x = 2,783.49 × 828.94
  4. Step 4: Simplify right side
    1,855.66x = 2,307,337.17
  5. Step 5: Solve for x
    x = 2,307,337.17/1,855.66
  6. Step 6: Final answer
    x = 1,243.41

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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.