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Finding the Fourth Proportional to 1,734.92, 2,394.23 and 949.02

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Solution

The fourth proportional to 1,734.92, 2,394.23 and 949.02 is: 1,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.92 : 2,394.23 = 949.02 : x
  2. Step 2: Convert to fraction form
    1,734.92/2,394.23 = 949.02/x
  3. Step 3: Cross multiply
    1,734.92x = 2,394.23 × 949.02
  4. Step 4: Simplify right side
    1,734.92x = 2,272,178.14
  5. Step 5: Solve for x
    x = 2,272,178.14/1,734.92
  6. Step 6: Final answer
    x = 1,309.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.