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Finding the Fourth Proportional to 1,746.40, 2,410.07 and 949.75

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Solution

The fourth proportional to 1,746.40, 2,410.07 and 949.75 is: 1,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.40 : 2,410.07 = 949.75 : x
  2. Step 2: Convert to fraction form
    1,746.40/2,410.07 = 949.75/x
  3. Step 3: Cross multiply
    1,746.40x = 2,410.07 × 949.75
  4. Step 4: Simplify right side
    1,746.40x = 2,288,963.98
  5. Step 5: Solve for x
    x = 2,288,963.98/1,746.40
  6. Step 6: Final answer
    x = 1,310.68

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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.