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Finding the Fourth Proportional to 1,963.42, 2,945.02 and 761.18

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Solution

The fourth proportional to 1,963.42, 2,945.02 and 761.18 is: 1,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.42 : 2,945.02 = 761.18 : x
  2. Step 2: Convert to fraction form
    1,963.42/2,945.02 = 761.18/x
  3. Step 3: Cross multiply
    1,963.42x = 2,945.02 × 761.18
  4. Step 4: Simplify right side
    1,963.42x = 2,241,690.32
  5. Step 5: Solve for x
    x = 2,241,690.32/1,963.42
  6. Step 6: Final answer
    x = 1,141.73

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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.