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Finding the Fourth Proportional to 1,525.64, 2,284.40 and 1,215.41

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Solution

The fourth proportional to 1,525.64, 2,284.40 and 1,215.41 is: 1,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.64 : 2,284.40 = 1,215.41 : x
  2. Step 2: Convert to fraction form
    1,525.64/2,284.40 = 1,215.41/x
  3. Step 3: Cross multiply
    1,525.64x = 2,284.40 × 1,215.41
  4. Step 4: Simplify right side
    1,525.64x = 2,776,474.22
  5. Step 5: Solve for x
    x = 2,776,474.22/1,525.64
  6. Step 6: Final answer
    x = 1,819.88

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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.