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Finding the Fourth Proportional to 2,647.62, 3,971.70 and 915.84

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Solution

The fourth proportional to 2,647.62, 3,971.70 and 915.84 is: 1,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.62 : 3,971.70 = 915.84 : x
  2. Step 2: Convert to fraction form
    2,647.62/3,971.70 = 915.84/x
  3. Step 3: Cross multiply
    2,647.62x = 3,971.70 × 915.84
  4. Step 4: Simplify right side
    2,647.62x = 3,637,441.73
  5. Step 5: Solve for x
    x = 3,637,441.73/2,647.62
  6. Step 6: Final answer
    x = 1,373.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.