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Finding the Fourth Proportional to 3,294.27, 4,941.22 and 829.08

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Solution

The fourth proportional to 3,294.27, 4,941.22 and 829.08 is: 1,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.27 : 4,941.22 = 829.08 : x
  2. Step 2: Convert to fraction form
    3,294.27/4,941.22 = 829.08/x
  3. Step 3: Cross multiply
    3,294.27x = 4,941.22 × 829.08
  4. Step 4: Simplify right side
    3,294.27x = 4,096,681.10
  5. Step 5: Solve for x
    x = 4,096,681.10/3,294.27
  6. Step 6: Final answer
    x = 1,243.58

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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.