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Finding the Fourth Proportional to 4,732.02, 7,097.76 and 1,269

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Solution

The fourth proportional to 4,732.02, 7,097.76 and 1,269 is: 1,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.02 : 7,097.76 = 1,269 : x
  2. Step 2: Convert to fraction form
    4,732.02/7,097.76 = 1,269/x
  3. Step 3: Cross multiply
    4,732.02x = 7,097.76 × 1,269
  4. Step 4: Simplify right side
    4,732.02x = 9,007,057.44
  5. Step 5: Solve for x
    x = 9,007,057.44/4,732.02
  6. Step 6: Final answer
    x = 1,903.43

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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.