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Finding the Fourth Proportional to 2,473.43, 3,709.22 and 829.58

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Solution

The fourth proportional to 2,473.43, 3,709.22 and 829.58 is: 1,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.43 : 3,709.22 = 829.58 : x
  2. Step 2: Convert to fraction form
    2,473.43/3,709.22 = 829.58/x
  3. Step 3: Cross multiply
    2,473.43x = 3,709.22 × 829.58
  4. Step 4: Simplify right side
    2,473.43x = 3,077,106.07
  5. Step 5: Solve for x
    x = 3,077,106.07/2,473.43
  6. Step 6: Final answer
    x = 1,244.07

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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.