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Finding the Fourth Proportional to 2,960, 4,084.80 and 1,718.72

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Solution

The fourth proportional to 2,960, 4,084.80 and 1,718.72 is: 2,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960 : 4,084.80 = 1,718.72 : x
  2. Step 2: Convert to fraction form
    2,960/4,084.80 = 1,718.72/x
  3. Step 3: Cross multiply
    2,960x = 4,084.80 × 1,718.72
  4. Step 4: Simplify right side
    2,960x = 7,020,627.46
  5. Step 5: Solve for x
    x = 7,020,627.46/2,960
  6. Step 6: Final answer
    x = 2,371.83

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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.