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Finding the Fourth Proportional to 3,141.66, 4,322.70 and 2,882.46

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Solution

The fourth proportional to 3,141.66, 4,322.70 and 2,882.46 is: 3,966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.66 : 4,322.70 = 2,882.46 : x
  2. Step 2: Convert to fraction form
    3,141.66/4,322.70 = 2,882.46/x
  3. Step 3: Cross multiply
    3,141.66x = 4,322.70 × 2,882.46
  4. Step 4: Simplify right side
    3,141.66x = 12,460,009.84
  5. Step 5: Solve for x
    x = 12,460,009.84/3,141.66
  6. Step 6: Final answer
    x = 3,966.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.