Home / 2,043.12-3,066.70-947.72

Finding the Fourth Proportional to 2,043.12, 3,066.70 and 947.72

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Solution

The fourth proportional to 2,043.12, 3,066.70 and 947.72 is: 1,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.12 : 3,066.70 = 947.72 : x
  2. Step 2: Convert to fraction form
    2,043.12/3,066.70 = 947.72/x
  3. Step 3: Cross multiply
    2,043.12x = 3,066.70 × 947.72
  4. Step 4: Simplify right side
    2,043.12x = 2,906,372.92
  5. Step 5: Solve for x
    x = 2,906,372.92/2,043.12
  6. Step 6: Final answer
    x = 1,422.52

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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.