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Finding the Fourth Proportional to 2,685.92, 4,029.66 and 954.68

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Solution

The fourth proportional to 2,685.92, 4,029.66 and 954.68 is: 1,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.92 : 4,029.66 = 954.68 : x
  2. Step 2: Convert to fraction form
    2,685.92/4,029.66 = 954.68/x
  3. Step 3: Cross multiply
    2,685.92x = 4,029.66 × 954.68
  4. Step 4: Simplify right side
    2,685.92x = 3,847,035.81
  5. Step 5: Solve for x
    x = 3,847,035.81/2,685.92
  6. Step 6: Final answer
    x = 1,432.30

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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.