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Finding the Fourth Proportional to 4,969.92, 7,455.90 and 2,048.42

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Solution

The fourth proportional to 4,969.92, 7,455.90 and 2,048.42 is: 3,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.92 : 7,455.90 = 2,048.42 : x
  2. Step 2: Convert to fraction form
    4,969.92/7,455.90 = 2,048.42/x
  3. Step 3: Cross multiply
    4,969.92x = 7,455.90 × 2,048.42
  4. Step 4: Simplify right side
    4,969.92x = 15,272,814.68
  5. Step 5: Solve for x
    x = 15,272,814.68/4,969.92
  6. Step 6: Final answer
    x = 3,073.05

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1.5x scale

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.