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Finding the Fourth Proportional to 2,004.40, 3,006.66 and 543.52

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Solution

The fourth proportional to 2,004.40, 3,006.66 and 543.52 is: 815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.40 : 3,006.66 = 543.52 : x
  2. Step 2: Convert to fraction form
    2,004.40/3,006.66 = 543.52/x
  3. Step 3: Cross multiply
    2,004.40x = 3,006.66 × 543.52
  4. Step 4: Simplify right side
    2,004.40x = 1,634,179.84
  5. Step 5: Solve for x
    x = 1,634,179.84/2,004.40
  6. Step 6: Final answer
    x = 815.30

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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.