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Finding the Fourth Proportional to 4,611.65, 6,916.62 and 1,234.49

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Solution

The fourth proportional to 4,611.65, 6,916.62 and 1,234.49 is: 1,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.65 : 6,916.62 = 1,234.49 : x
  2. Step 2: Convert to fraction form
    4,611.65/6,916.62 = 1,234.49/x
  3. Step 3: Cross multiply
    4,611.65x = 6,916.62 × 1,234.49
  4. Step 4: Simplify right side
    4,611.65x = 8,538,463.64
  5. Step 5: Solve for x
    x = 8,538,463.64/4,611.65
  6. Step 6: Final answer
    x = 1,851.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.