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Finding the Fourth Proportional to 2,042.93, 3,064.49 and 582.18

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Solution

The fourth proportional to 2,042.93, 3,064.49 and 582.18 is: 873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.93 : 3,064.49 = 582.18 : x
  2. Step 2: Convert to fraction form
    2,042.93/3,064.49 = 582.18/x
  3. Step 3: Cross multiply
    2,042.93x = 3,064.49 × 582.18
  4. Step 4: Simplify right side
    2,042.93x = 1,784,084.79
  5. Step 5: Solve for x
    x = 1,784,084.79/2,042.93
  6. Step 6: Final answer
    x = 873.30

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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.