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Finding the Fourth Proportional to 2,354.68, 3,532.56 and 711.28

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Solution

The fourth proportional to 2,354.68, 3,532.56 and 711.28 is: 1,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.68 : 3,532.56 = 711.28 : x
  2. Step 2: Convert to fraction form
    2,354.68/3,532.56 = 711.28/x
  3. Step 3: Cross multiply
    2,354.68x = 3,532.56 × 711.28
  4. Step 4: Simplify right side
    2,354.68x = 2,512,639.28
  5. Step 5: Solve for x
    x = 2,512,639.28/2,354.68
  6. Step 6: Final answer
    x = 1,067.08

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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.