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Finding the Fourth Proportional to 1,929.29, 2,893.91 and 468.44

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Solution

The fourth proportional to 1,929.29, 2,893.91 and 468.44 is: 702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.29 : 2,893.91 = 468.44 : x
  2. Step 2: Convert to fraction form
    1,929.29/2,893.91 = 468.44/x
  3. Step 3: Cross multiply
    1,929.29x = 2,893.91 × 468.44
  4. Step 4: Simplify right side
    1,929.29x = 1,355,628.01
  5. Step 5: Solve for x
    x = 1,355,628.01/1,929.29
  6. Step 6: Final answer
    x = 702.66

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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.