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Finding the Fourth Proportional to 1,525.62, 2,284.76 and 1,449.06

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Solution

The fourth proportional to 1,525.62, 2,284.76 and 1,449.06 is: 2,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.62 : 2,284.76 = 1,449.06 : x
  2. Step 2: Convert to fraction form
    1,525.62/2,284.76 = 1,449.06/x
  3. Step 3: Cross multiply
    1,525.62x = 2,284.76 × 1,449.06
  4. Step 4: Simplify right side
    1,525.62x = 3,310,754.33
  5. Step 5: Solve for x
    x = 3,310,754.33/1,525.62
  6. Step 6: Final answer
    x = 2,170.10

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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.