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Finding the Fourth Proportional to 2,998.50, 4,137.93 and 1,756.50

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Solution

The fourth proportional to 2,998.50, 4,137.93 and 1,756.50 is: 2,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.50 : 4,137.93 = 1,756.50 : x
  2. Step 2: Convert to fraction form
    2,998.50/4,137.93 = 1,756.50/x
  3. Step 3: Cross multiply
    2,998.50x = 4,137.93 × 1,756.50
  4. Step 4: Simplify right side
    2,998.50x = 7,268,274.05
  5. Step 5: Solve for x
    x = 7,268,274.05/2,998.50
  6. Step 6: Final answer
    x = 2,423.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.