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Finding the Fourth Proportional to 2,182.04, 3,273.03 and 538.60

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Solution

The fourth proportional to 2,182.04, 3,273.03 and 538.60 is: 807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.04 : 3,273.03 = 538.60 : x
  2. Step 2: Convert to fraction form
    2,182.04/3,273.03 = 538.60/x
  3. Step 3: Cross multiply
    2,182.04x = 3,273.03 × 538.60
  4. Step 4: Simplify right side
    2,182.04x = 1,762,853.96
  5. Step 5: Solve for x
    x = 1,762,853.96/2,182.04
  6. Step 6: Final answer
    x = 807.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.