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Finding the Fourth Proportional to 3,419, 4,718.22 and 2,177.72

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Solution

The fourth proportional to 3,419, 4,718.22 and 2,177.72 is: 3,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419 : 4,718.22 = 2,177.72 : x
  2. Step 2: Convert to fraction form
    3,419/4,718.22 = 2,177.72/x
  3. Step 3: Cross multiply
    3,419x = 4,718.22 × 2,177.72
  4. Step 4: Simplify right side
    3,419x = 10,274,962.06
  5. Step 5: Solve for x
    x = 10,274,962.06/3,419
  6. Step 6: Final answer
    x = 3,005.25

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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.