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Finding the Fourth Proportional to 3,132.82, 4,700.07 and 941.38

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Solution

The fourth proportional to 3,132.82, 4,700.07 and 941.38 is: 1,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.82 : 4,700.07 = 941.38 : x
  2. Step 2: Convert to fraction form
    3,132.82/4,700.07 = 941.38/x
  3. Step 3: Cross multiply
    3,132.82x = 4,700.07 × 941.38
  4. Step 4: Simplify right side
    3,132.82x = 4,424,551.90
  5. Step 5: Solve for x
    x = 4,424,551.90/3,132.82
  6. Step 6: Final answer
    x = 1,412.32

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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.