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Finding the Fourth Proportional to 3,855.60, 5,780.84 and 1,663.76

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Solution

The fourth proportional to 3,855.60, 5,780.84 and 1,663.76 is: 2,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.60 : 5,780.84 = 1,663.76 : x
  2. Step 2: Convert to fraction form
    3,855.60/5,780.84 = 1,663.76/x
  3. Step 3: Cross multiply
    3,855.60x = 5,780.84 × 1,663.76
  4. Step 4: Simplify right side
    3,855.60x = 9,617,930.36
  5. Step 5: Solve for x
    x = 9,617,930.36/3,855.60
  6. Step 6: Final answer
    x = 2,494.54

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1.5x scale

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.