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Finding the Fourth Proportional to 2,611.78, 3,915.78 and 945.34

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Solution

The fourth proportional to 2,611.78, 3,915.78 and 945.34 is: 1,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.78 : 3,915.78 = 945.34 : x
  2. Step 2: Convert to fraction form
    2,611.78/3,915.78 = 945.34/x
  3. Step 3: Cross multiply
    2,611.78x = 3,915.78 × 945.34
  4. Step 4: Simplify right side
    2,611.78x = 3,701,743.47
  5. Step 5: Solve for x
    x = 3,701,743.47/2,611.78
  6. Step 6: Final answer
    x = 1,417.33

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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.