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Finding the Fourth Proportional to 2,164.56, 2,988 and 1,466.88

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Solution

The fourth proportional to 2,164.56, 2,988 and 1,466.88 is: 2,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.56 : 2,988 = 1,466.88 : x
  2. Step 2: Convert to fraction form
    2,164.56/2,988 = 1,466.88/x
  3. Step 3: Cross multiply
    2,164.56x = 2,988 × 1,466.88
  4. Step 4: Simplify right side
    2,164.56x = 4,383,037.44
  5. Step 5: Solve for x
    x = 4,383,037.44/2,164.56
  6. Step 6: Final answer
    x = 2,024.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.