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Finding the Fourth Proportional to 1,841.92, 2,762.88 and 609.00

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Solution

The fourth proportional to 1,841.92, 2,762.88 and 609.00 is: 913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.92 : 2,762.88 = 609.00 : x
  2. Step 2: Convert to fraction form
    1,841.92/2,762.88 = 609.00/x
  3. Step 3: Cross multiply
    1,841.92x = 2,762.88 × 609.00
  4. Step 4: Simplify right side
    1,841.92x = 1,682,581.28
  5. Step 5: Solve for x
    x = 1,682,581.28/1,841.92
  6. Step 6: Final answer
    x = 913.49

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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.