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Finding the Fourth Proportional to 1,734.76, 2,394.01 and 948.88

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Solution

The fourth proportional to 1,734.76, 2,394.01 and 948.88 is: 1,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.76 : 2,394.01 = 948.88 : x
  2. Step 2: Convert to fraction form
    1,734.76/2,394.01 = 948.88/x
  3. Step 3: Cross multiply
    1,734.76x = 2,394.01 × 948.88
  4. Step 4: Simplify right side
    1,734.76x = 2,271,628.21
  5. Step 5: Solve for x
    x = 2,271,628.21/1,734.76
  6. Step 6: Final answer
    x = 1,309.48

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Half scale
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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.