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Finding the Fourth Proportional to 3,132.45, 4,699.28 and 941.13

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Solution

The fourth proportional to 3,132.45, 4,699.28 and 941.13 is: 1,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.45 : 4,699.28 = 941.13 : x
  2. Step 2: Convert to fraction form
    3,132.45/4,699.28 = 941.13/x
  3. Step 3: Cross multiply
    3,132.45x = 4,699.28 × 941.13
  4. Step 4: Simplify right side
    3,132.45x = 4,422,635.74
  5. Step 5: Solve for x
    x = 4,422,635.74/3,132.45
  6. Step 6: Final answer
    x = 1,411.88

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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.