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Finding the Fourth Proportional to 1,881.31, 2,821.69 and 785.47

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Solution

The fourth proportional to 1,881.31, 2,821.69 and 785.47 is: 1,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.31 : 2,821.69 = 785.47 : x
  2. Step 2: Convert to fraction form
    1,881.31/2,821.69 = 785.47/x
  3. Step 3: Cross multiply
    1,881.31x = 2,821.69 × 785.47
  4. Step 4: Simplify right side
    1,881.31x = 2,216,352.84
  5. Step 5: Solve for x
    x = 2,216,352.84/1,881.31
  6. Step 6: Final answer
    x = 1,178.09

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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.