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Finding the Fourth Proportional to 1,731.50, 2,611.79 and 1,630.46

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Solution

The fourth proportional to 1,731.50, 2,611.79 and 1,630.46 is: 2,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.50 : 2,611.79 = 1,630.46 : x
  2. Step 2: Convert to fraction form
    1,731.50/2,611.79 = 1,630.46/x
  3. Step 3: Cross multiply
    1,731.50x = 2,611.79 × 1,630.46
  4. Step 4: Simplify right side
    1,731.50x = 4,258,419.12
  5. Step 5: Solve for x
    x = 4,258,419.12/1,731.50
  6. Step 6: Final answer
    x = 2,459.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.