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Finding the Fourth Proportional to 3,132.38, 4,699.66 and 941.06

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Solution

The fourth proportional to 3,132.38, 4,699.66 and 941.06 is: 1,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.38 : 4,699.66 = 941.06 : x
  2. Step 2: Convert to fraction form
    3,132.38/4,699.66 = 941.06/x
  3. Step 3: Cross multiply
    3,132.38x = 4,699.66 × 941.06
  4. Step 4: Simplify right side
    3,132.38x = 4,422,662.04
  5. Step 5: Solve for x
    x = 4,422,662.04/3,132.38
  6. Step 6: Final answer
    x = 1,411.92

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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.