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Finding the Fourth Proportional to 1,881.90, 2,821.64 and 785.97

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Solution

The fourth proportional to 1,881.90, 2,821.64 and 785.97 is: 1,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.90 : 2,821.64 = 785.97 : x
  2. Step 2: Convert to fraction form
    1,881.90/2,821.64 = 785.97/x
  3. Step 3: Cross multiply
    1,881.90x = 2,821.64 × 785.97
  4. Step 4: Simplify right side
    1,881.90x = 2,217,720.46
  5. Step 5: Solve for x
    x = 2,217,720.46/1,881.90
  6. Step 6: Final answer
    x = 1,178.45

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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.