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Finding the Fourth Proportional to 3,141.94, 4,711.29 and 1,661.96

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Solution

The fourth proportional to 3,141.94, 4,711.29 and 1,661.96 is: 2,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.94 : 4,711.29 = 1,661.96 : x
  2. Step 2: Convert to fraction form
    3,141.94/4,711.29 = 1,661.96/x
  3. Step 3: Cross multiply
    3,141.94x = 4,711.29 × 1,661.96
  4. Step 4: Simplify right side
    3,141.94x = 7,829,975.53
  5. Step 5: Solve for x
    x = 7,829,975.53/3,141.94
  6. Step 6: Final answer
    x = 2,492.08

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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.