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Finding the Fourth Proportional to 1,702.24, 2,553.91 and 835.94

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Solution

The fourth proportional to 1,702.24, 2,553.91 and 835.94 is: 1,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.24 : 2,553.91 = 835.94 : x
  2. Step 2: Convert to fraction form
    1,702.24/2,553.91 = 835.94/x
  3. Step 3: Cross multiply
    1,702.24x = 2,553.91 × 835.94
  4. Step 4: Simplify right side
    1,702.24x = 2,134,915.53
  5. Step 5: Solve for x
    x = 2,134,915.53/1,702.24
  6. Step 6: Final answer
    x = 1,254.18

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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.