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Finding the Fourth Proportional to 2,180.47, 3,270.93 and 947.53

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Solution

The fourth proportional to 2,180.47, 3,270.93 and 947.53 is: 1,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.47 : 3,270.93 = 947.53 : x
  2. Step 2: Convert to fraction form
    2,180.47/3,270.93 = 947.53/x
  3. Step 3: Cross multiply
    2,180.47x = 3,270.93 × 947.53
  4. Step 4: Simplify right side
    2,180.47x = 3,099,304.30
  5. Step 5: Solve for x
    x = 3,099,304.30/2,180.47
  6. Step 6: Final answer
    x = 1,421.39

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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.