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Finding the Fourth Proportional to 1,880.88, 2,823.24 and 785.88

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Solution

The fourth proportional to 1,880.88, 2,823.24 and 785.88 is: 1,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.88 : 2,823.24 = 785.88 : x
  2. Step 2: Convert to fraction form
    1,880.88/2,823.24 = 785.88/x
  3. Step 3: Cross multiply
    1,880.88x = 2,823.24 × 785.88
  4. Step 4: Simplify right side
    1,880.88x = 2,218,727.85
  5. Step 5: Solve for x
    x = 2,218,727.85/1,880.88
  6. Step 6: Final answer
    x = 1,179.62

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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.