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Finding the Fourth Proportional to 2,311.64, 3,461.70 and 1,443.32

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Solution

The fourth proportional to 2,311.64, 3,461.70 and 1,443.32 is: 2,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.64 : 3,461.70 = 1,443.32 : x
  2. Step 2: Convert to fraction form
    2,311.64/3,461.70 = 1,443.32/x
  3. Step 3: Cross multiply
    2,311.64x = 3,461.70 × 1,443.32
  4. Step 4: Simplify right side
    2,311.64x = 4,996,340.84
  5. Step 5: Solve for x
    x = 4,996,340.84/2,311.64
  6. Step 6: Final answer
    x = 2,161.38

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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.