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Finding the Fourth Proportional to 2,525.46, 3,789.12 and 1,064.46

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Solution

The fourth proportional to 2,525.46, 3,789.12 and 1,064.46 is: 1,597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.46 : 3,789.12 = 1,064.46 : x
  2. Step 2: Convert to fraction form
    2,525.46/3,789.12 = 1,064.46/x
  3. Step 3: Cross multiply
    2,525.46x = 3,789.12 × 1,064.46
  4. Step 4: Simplify right side
    2,525.46x = 4,033,366.68
  5. Step 5: Solve for x
    x = 4,033,366.68/2,525.46
  6. Step 6: Final answer
    x = 1,597.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.