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Finding the Fourth Proportional to 1,461.09, 2,189.78 and 639.15

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Solution

The fourth proportional to 1,461.09, 2,189.78 and 639.15 is: 957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.09 : 2,189.78 = 639.15 : x
  2. Step 2: Convert to fraction form
    1,461.09/2,189.78 = 639.15/x
  3. Step 3: Cross multiply
    1,461.09x = 2,189.78 × 639.15
  4. Step 4: Simplify right side
    1,461.09x = 1,399,597.89
  5. Step 5: Solve for x
    x = 1,399,597.89/1,461.09
  6. Step 6: Final answer
    x = 957.91

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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.