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Finding the Fourth Proportional to 2,344.90, 3,517.35 and 884.38

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Solution

The fourth proportional to 2,344.90, 3,517.35 and 884.38 is: 1,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.90 : 3,517.35 = 884.38 : x
  2. Step 2: Convert to fraction form
    2,344.90/3,517.35 = 884.38/x
  3. Step 3: Cross multiply
    2,344.90x = 3,517.35 × 884.38
  4. Step 4: Simplify right side
    2,344.90x = 3,110,673.99
  5. Step 5: Solve for x
    x = 3,110,673.99/2,344.90
  6. Step 6: Final answer
    x = 1,326.57

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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.