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Finding the Fourth Proportional to 2,915.61, 4,372.67 and 835.63

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Solution

The fourth proportional to 2,915.61, 4,372.67 and 835.63 is: 1,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.61 : 4,372.67 = 835.63 : x
  2. Step 2: Convert to fraction form
    2,915.61/4,372.67 = 835.63/x
  3. Step 3: Cross multiply
    2,915.61x = 4,372.67 × 835.63
  4. Step 4: Simplify right side
    2,915.61x = 3,653,912.37
  5. Step 5: Solve for x
    x = 3,653,912.37/2,915.61
  6. Step 6: Final answer
    x = 1,253.23

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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.