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Finding the Fourth Proportional to 3,056.96, 4,578.50 and 1,946.38

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Solution

The fourth proportional to 3,056.96, 4,578.50 and 1,946.38 is: 2,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.96 : 4,578.50 = 1,946.38 : x
  2. Step 2: Convert to fraction form
    3,056.96/4,578.50 = 1,946.38/x
  3. Step 3: Cross multiply
    3,056.96x = 4,578.50 × 1,946.38
  4. Step 4: Simplify right side
    3,056.96x = 8,911,500.83
  5. Step 5: Solve for x
    x = 8,911,500.83/3,056.96
  6. Step 6: Final answer
    x = 2,915.15

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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.