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Finding the Fourth Proportional to 2,354.85, 3,532.36 and 711.39

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Solution

The fourth proportional to 2,354.85, 3,532.36 and 711.39 is: 1,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.85 : 3,532.36 = 711.39 : x
  2. Step 2: Convert to fraction form
    2,354.85/3,532.36 = 711.39/x
  3. Step 3: Cross multiply
    2,354.85x = 3,532.36 × 711.39
  4. Step 4: Simplify right side
    2,354.85x = 2,512,885.58
  5. Step 5: Solve for x
    x = 2,512,885.58/2,354.85
  6. Step 6: Final answer
    x = 1,067.11

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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.