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Finding the Fourth Proportional to 2,966.76, 4,448.70 and 886.23

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Solution

The fourth proportional to 2,966.76, 4,448.70 and 886.23 is: 1,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.76 : 4,448.70 = 886.23 : x
  2. Step 2: Convert to fraction form
    2,966.76/4,448.70 = 886.23/x
  3. Step 3: Cross multiply
    2,966.76x = 4,448.70 × 886.23
  4. Step 4: Simplify right side
    2,966.76x = 3,942,571.40
  5. Step 5: Solve for x
    x = 3,942,571.40/2,966.76
  6. Step 6: Final answer
    x = 1,328.91

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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.