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Finding the Fourth Proportional to 2,966.38, 4,093.18 and 1,706.95

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Solution

The fourth proportional to 2,966.38, 4,093.18 and 1,706.95 is: 2,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.38 : 4,093.18 = 1,706.95 : x
  2. Step 2: Convert to fraction form
    2,966.38/4,093.18 = 1,706.95/x
  3. Step 3: Cross multiply
    2,966.38x = 4,093.18 × 1,706.95
  4. Step 4: Simplify right side
    2,966.38x = 6,986,853.60
  5. Step 5: Solve for x
    x = 6,986,853.60/2,966.38
  6. Step 6: Final answer
    x = 2,355.35

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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.