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Finding the Fourth Proportional to 1,734.44, 2,602.54 and 868.69

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Solution

The fourth proportional to 1,734.44, 2,602.54 and 868.69 is: 1,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.44 : 2,602.54 = 868.69 : x
  2. Step 2: Convert to fraction form
    1,734.44/2,602.54 = 868.69/x
  3. Step 3: Cross multiply
    1,734.44x = 2,602.54 × 868.69
  4. Step 4: Simplify right side
    1,734.44x = 2,260,800.47
  5. Step 5: Solve for x
    x = 2,260,800.47/1,734.44
  6. Step 6: Final answer
    x = 1,303.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.