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Finding the Fourth Proportional to 1,880.54, 2,820.96 and 582.92

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Solution

The fourth proportional to 1,880.54, 2,820.96 and 582.92 is: 874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.54 : 2,820.96 = 582.92 : x
  2. Step 2: Convert to fraction form
    1,880.54/2,820.96 = 582.92/x
  3. Step 3: Cross multiply
    1,880.54x = 2,820.96 × 582.92
  4. Step 4: Simplify right side
    1,880.54x = 1,644,394.00
  5. Step 5: Solve for x
    x = 1,644,394.00/1,880.54
  6. Step 6: Final answer
    x = 874.43

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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.