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Finding the Fourth Proportional to 3,041.86, 4,198.16 and 1,715.98

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Solution

The fourth proportional to 3,041.86, 4,198.16 and 1,715.98 is: 2,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.86 : 4,198.16 = 1,715.98 : x
  2. Step 2: Convert to fraction form
    3,041.86/4,198.16 = 1,715.98/x
  3. Step 3: Cross multiply
    3,041.86x = 4,198.16 × 1,715.98
  4. Step 4: Simplify right side
    3,041.86x = 7,203,958.60
  5. Step 5: Solve for x
    x = 7,203,958.60/3,041.86
  6. Step 6: Final answer
    x = 2,368.27

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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.