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Finding the Fourth Proportional to 1,880.96, 2,820.56 and 582.12

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Solution

The fourth proportional to 1,880.96, 2,820.56 and 582.12 is: 872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.96 : 2,820.56 = 582.12 : x
  2. Step 2: Convert to fraction form
    1,880.96/2,820.56 = 582.12/x
  3. Step 3: Cross multiply
    1,880.96x = 2,820.56 × 582.12
  4. Step 4: Simplify right side
    1,880.96x = 1,641,901.48
  5. Step 5: Solve for x
    x = 1,641,901.48/1,880.96
  6. Step 6: Final answer
    x = 872.91

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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.