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Finding the Fourth Proportional to 2,519.58, 3,779.64 and 764.58

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Solution

The fourth proportional to 2,519.58, 3,779.64 and 764.58 is: 1,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.58 : 3,779.64 = 764.58 : x
  2. Step 2: Convert to fraction form
    2,519.58/3,779.64 = 764.58/x
  3. Step 3: Cross multiply
    2,519.58x = 3,779.64 × 764.58
  4. Step 4: Simplify right side
    2,519.58x = 2,889,837.15
  5. Step 5: Solve for x
    x = 2,889,837.15/2,519.58
  6. Step 6: Final answer
    x = 1,146.95

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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.