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Finding the Fourth Proportional to 1,622.78, 2,434.11 and 582.84

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Solution

The fourth proportional to 1,622.78, 2,434.11 and 582.84 is: 874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.78 : 2,434.11 = 582.84 : x
  2. Step 2: Convert to fraction form
    1,622.78/2,434.11 = 582.84/x
  3. Step 3: Cross multiply
    1,622.78x = 2,434.11 × 582.84
  4. Step 4: Simplify right side
    1,622.78x = 1,418,696.67
  5. Step 5: Solve for x
    x = 1,418,696.67/1,622.78
  6. Step 6: Final answer
    x = 874.24

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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.