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Finding the Fourth Proportional to 1,920.27, 2,880.69 and 824.64

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Solution

The fourth proportional to 1,920.27, 2,880.69 and 824.64 is: 1,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.27 : 2,880.69 = 824.64 : x
  2. Step 2: Convert to fraction form
    1,920.27/2,880.69 = 824.64/x
  3. Step 3: Cross multiply
    1,920.27x = 2,880.69 × 824.64
  4. Step 4: Simplify right side
    1,920.27x = 2,375,532.20
  5. Step 5: Solve for x
    x = 2,375,532.20/1,920.27
  6. Step 6: Final answer
    x = 1,237.08

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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.