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Finding the Fourth Proportional to 2,354.76, 3,532.34 and 711.27

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Solution

The fourth proportional to 2,354.76, 3,532.34 and 711.27 is: 1,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.76 : 3,532.34 = 711.27 : x
  2. Step 2: Convert to fraction form
    2,354.76/3,532.34 = 711.27/x
  3. Step 3: Cross multiply
    2,354.76x = 3,532.34 × 711.27
  4. Step 4: Simplify right side
    2,354.76x = 2,512,449.25
  5. Step 5: Solve for x
    x = 2,512,449.25/2,354.76
  6. Step 6: Final answer
    x = 1,066.97

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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.