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Finding the Fourth Proportional to 3,132.56, 4,698.70 and 941.22

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Solution

The fourth proportional to 3,132.56, 4,698.70 and 941.22 is: 1,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.56 : 4,698.70 = 941.22 : x
  2. Step 2: Convert to fraction form
    3,132.56/4,698.70 = 941.22/x
  3. Step 3: Cross multiply
    3,132.56x = 4,698.70 × 941.22
  4. Step 4: Simplify right side
    3,132.56x = 4,422,510.41
  5. Step 5: Solve for x
    x = 4,422,510.41/3,132.56
  6. Step 6: Final answer
    x = 1,411.79

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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.