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Finding the Fourth Proportional to 1,952.76, 2,706.14 and 1,915.83

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Solution

The fourth proportional to 1,952.76, 2,706.14 and 1,915.83 is: 2,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.76 : 2,706.14 = 1,915.83 : x
  2. Step 2: Convert to fraction form
    1,952.76/2,706.14 = 1,915.83/x
  3. Step 3: Cross multiply
    1,952.76x = 2,706.14 × 1,915.83
  4. Step 4: Simplify right side
    1,952.76x = 5,184,494.62
  5. Step 5: Solve for x
    x = 5,184,494.62/1,952.76
  6. Step 6: Final answer
    x = 2,654.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.