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Finding the Fourth Proportional to 1,881.99, 2,822.51 and 785.75

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Solution

The fourth proportional to 1,881.99, 2,822.51 and 785.75 is: 1,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.99 : 2,822.51 = 785.75 : x
  2. Step 2: Convert to fraction form
    1,881.99/2,822.51 = 785.75/x
  3. Step 3: Cross multiply
    1,881.99x = 2,822.51 × 785.75
  4. Step 4: Simplify right side
    1,881.99x = 2,217,775.08
  5. Step 5: Solve for x
    x = 2,217,775.08/1,881.99
  6. Step 6: Final answer
    x = 1,178.42

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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.