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Finding the Fourth Proportional to 4,599.70, 6,900.56 and 1,677.99

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Solution

The fourth proportional to 4,599.70, 6,900.56 and 1,677.99 is: 2,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.70 : 6,900.56 = 1,677.99 : x
  2. Step 2: Convert to fraction form
    4,599.70/6,900.56 = 1,677.99/x
  3. Step 3: Cross multiply
    4,599.70x = 6,900.56 × 1,677.99
  4. Step 4: Simplify right side
    4,599.70x = 11,579,074.87
  5. Step 5: Solve for x
    x = 11,579,074.87/4,599.70
  6. Step 6: Final answer
    x = 2,517.36

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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.