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Finding the Fourth Proportional to 1,629.98, 2,444.97 and 576.58

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Solution

The fourth proportional to 1,629.98, 2,444.97 and 576.58 is: 864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.98 : 2,444.97 = 576.58 : x
  2. Step 2: Convert to fraction form
    1,629.98/2,444.97 = 576.58/x
  3. Step 3: Cross multiply
    1,629.98x = 2,444.97 × 576.58
  4. Step 4: Simplify right side
    1,629.98x = 1,409,714.69
  5. Step 5: Solve for x
    x = 1,409,714.69/1,629.98
  6. Step 6: Final answer
    x = 864.86

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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.