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Finding the Fourth Proportional to 1,885.68, 2,828.62 and 788.94

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Solution

The fourth proportional to 1,885.68, 2,828.62 and 788.94 is: 1,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.68 : 2,828.62 = 788.94 : x
  2. Step 2: Convert to fraction form
    1,885.68/2,828.62 = 788.94/x
  3. Step 3: Cross multiply
    1,885.68x = 2,828.62 × 788.94
  4. Step 4: Simplify right side
    1,885.68x = 2,231,612.45
  5. Step 5: Solve for x
    x = 2,231,612.45/1,885.68
  6. Step 6: Final answer
    x = 1,183.45

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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.