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Finding the Fourth Proportional to 1,842.00, 2,763.03 and 609.52

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Solution

The fourth proportional to 1,842.00, 2,763.03 and 609.52 is: 914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.00 : 2,763.03 = 609.52 : x
  2. Step 2: Convert to fraction form
    1,842.00/2,763.03 = 609.52/x
  3. Step 3: Cross multiply
    1,842.00x = 2,763.03 × 609.52
  4. Step 4: Simplify right side
    1,842.00x = 1,684,105.18
  5. Step 5: Solve for x
    x = 1,684,105.18/1,842.00
  6. Step 6: Final answer
    x = 914.28

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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.