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Finding the Fourth Proportional to 2,696.50, 4,045.14 and 846.99

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Solution

The fourth proportional to 2,696.50, 4,045.14 and 846.99 is: 1,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.50 : 4,045.14 = 846.99 : x
  2. Step 2: Convert to fraction form
    2,696.50/4,045.14 = 846.99/x
  3. Step 3: Cross multiply
    2,696.50x = 4,045.14 × 846.99
  4. Step 4: Simplify right side
    2,696.50x = 3,426,202.45
  5. Step 5: Solve for x
    x = 3,426,202.45/2,696.50
  6. Step 6: Final answer
    x = 1,270.61

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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.