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Finding the Fourth Proportional to 3,407.94, 4,704.28 and 2,148.73

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Solution

The fourth proportional to 3,407.94, 4,704.28 and 2,148.73 is: 2,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.94 : 4,704.28 = 2,148.73 : x
  2. Step 2: Convert to fraction form
    3,407.94/4,704.28 = 2,148.73/x
  3. Step 3: Cross multiply
    3,407.94x = 4,704.28 × 2,148.73
  4. Step 4: Simplify right side
    3,407.94x = 10,108,210.43
  5. Step 5: Solve for x
    x = 10,108,210.43/3,407.94
  6. Step 6: Final answer
    x = 2,966.08

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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.