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Finding the Fourth Proportional to 1,935.34, 2,903.10 and 781

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Solution

The fourth proportional to 1,935.34, 2,903.10 and 781 is: 1,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.34 : 2,903.10 = 781 : x
  2. Step 2: Convert to fraction form
    1,935.34/2,903.10 = 781/x
  3. Step 3: Cross multiply
    1,935.34x = 2,903.10 × 781
  4. Step 4: Simplify right side
    1,935.34x = 2,267,321.10
  5. Step 5: Solve for x
    x = 2,267,321.10/1,935.34
  6. Step 6: Final answer
    x = 1,171.54

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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.