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Finding the Fourth Proportional to 2,154.80, 3,230.60 and 785.84

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Solution

The fourth proportional to 2,154.80, 3,230.60 and 785.84 is: 1,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.80 : 3,230.60 = 785.84 : x
  2. Step 2: Convert to fraction form
    2,154.80/3,230.60 = 785.84/x
  3. Step 3: Cross multiply
    2,154.80x = 3,230.60 × 785.84
  4. Step 4: Simplify right side
    2,154.80x = 2,538,734.70
  5. Step 5: Solve for x
    x = 2,538,734.70/2,154.80
  6. Step 6: Final answer
    x = 1,178.18

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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.