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Finding the Fourth Proportional to 1,627.29, 2,436.89 and 967.55

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Solution

The fourth proportional to 1,627.29, 2,436.89 and 967.55 is: 1,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.29 : 2,436.89 = 967.55 : x
  2. Step 2: Convert to fraction form
    1,627.29/2,436.89 = 967.55/x
  3. Step 3: Cross multiply
    1,627.29x = 2,436.89 × 967.55
  4. Step 4: Simplify right side
    1,627.29x = 2,357,795.90
  5. Step 5: Solve for x
    x = 2,357,795.90/1,627.29
  6. Step 6: Final answer
    x = 1,448.91

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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.