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Finding the Fourth Proportional to 1,645.55, 2,257.89 and 1,630.07

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Solution

The fourth proportional to 1,645.55, 2,257.89 and 1,630.07 is: 2,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.55 : 2,257.89 = 1,630.07 : x
  2. Step 2: Convert to fraction form
    1,645.55/2,257.89 = 1,630.07/x
  3. Step 3: Cross multiply
    1,645.55x = 2,257.89 × 1,630.07
  4. Step 4: Simplify right side
    1,645.55x = 3,680,507.46
  5. Step 5: Solve for x
    x = 3,680,507.46/1,645.55
  6. Step 6: Final answer
    x = 2,236.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.