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Finding the Fourth Proportional to 3,132.34, 4,699.22 and 941.10

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Solution

The fourth proportional to 3,132.34, 4,699.22 and 941.10 is: 1,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.34 : 4,699.22 = 941.10 : x
  2. Step 2: Convert to fraction form
    3,132.34/4,699.22 = 941.10/x
  3. Step 3: Cross multiply
    3,132.34x = 4,699.22 × 941.10
  4. Step 4: Simplify right side
    3,132.34x = 4,422,440.05
  5. Step 5: Solve for x
    x = 4,422,440.05/3,132.34
  6. Step 6: Final answer
    x = 1,411.87

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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.