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Finding the Fourth Proportional to 1,892.54, 2,838.59 and 506.00

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Solution

The fourth proportional to 1,892.54, 2,838.59 and 506.00 is: 758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.54 : 2,838.59 = 506.00 : x
  2. Step 2: Convert to fraction form
    1,892.54/2,838.59 = 506.00/x
  3. Step 3: Cross multiply
    1,892.54x = 2,838.59 × 506.00
  4. Step 4: Simplify right side
    1,892.54x = 1,436,319.88
  5. Step 5: Solve for x
    x = 1,436,319.88/1,892.54
  6. Step 6: Final answer
    x = 758.94

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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.