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Finding the Fourth Proportional to 1,841.63, 2,762.44 and 543.08

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Solution

The fourth proportional to 1,841.63, 2,762.44 and 543.08 is: 814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.63 : 2,762.44 = 543.08 : x
  2. Step 2: Convert to fraction form
    1,841.63/2,762.44 = 543.08/x
  3. Step 3: Cross multiply
    1,841.63x = 2,762.44 × 543.08
  4. Step 4: Simplify right side
    1,841.63x = 1,500,210.75
  5. Step 5: Solve for x
    x = 1,500,210.75/1,841.63
  6. Step 6: Final answer
    x = 814.61

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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.