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Finding the Fourth Proportional to 1,627.70, 2,246.01 and 964.30

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Solution

The fourth proportional to 1,627.70, 2,246.01 and 964.30 is: 1,330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.70 : 2,246.01 = 964.30 : x
  2. Step 2: Convert to fraction form
    1,627.70/2,246.01 = 964.30/x
  3. Step 3: Cross multiply
    1,627.70x = 2,246.01 × 964.30
  4. Step 4: Simplify right side
    1,627.70x = 2,165,827.44
  5. Step 5: Solve for x
    x = 2,165,827.44/1,627.70
  6. Step 6: Final answer
    x = 1,330.61

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