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Finding the Fourth Proportional to 2,760.98, 4,140.99 and 1,029.62

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Solution

The fourth proportional to 2,760.98, 4,140.99 and 1,029.62 is: 1,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.98 : 4,140.99 = 1,029.62 : x
  2. Step 2: Convert to fraction form
    2,760.98/4,140.99 = 1,029.62/x
  3. Step 3: Cross multiply
    2,760.98x = 4,140.99 × 1,029.62
  4. Step 4: Simplify right side
    2,760.98x = 4,263,646.12
  5. Step 5: Solve for x
    x = 4,263,646.12/2,760.98
  6. Step 6: Final answer
    x = 1,544.25

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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.