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Finding the Fourth Proportional to 1,735.07, 2,394.36 and 949.10

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Solution

The fourth proportional to 1,735.07, 2,394.36 and 949.10 is: 1,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.07 : 2,394.36 = 949.10 : x
  2. Step 2: Convert to fraction form
    1,735.07/2,394.36 = 949.10/x
  3. Step 3: Cross multiply
    1,735.07x = 2,394.36 × 949.10
  4. Step 4: Simplify right side
    1,735.07x = 2,272,475.10
  5. Step 5: Solve for x
    x = 2,272,475.10/1,735.07
  6. Step 6: Final answer
    x = 1,309.73

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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.