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Finding the Fourth Proportional to 1,929.08, 2,893.64 and 468.25

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Solution

The fourth proportional to 1,929.08, 2,893.64 and 468.25 is: 702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.08 : 2,893.64 = 468.25 : x
  2. Step 2: Convert to fraction form
    1,929.08/2,893.64 = 468.25/x
  3. Step 3: Cross multiply
    1,929.08x = 2,893.64 × 468.25
  4. Step 4: Simplify right side
    1,929.08x = 1,354,937.35
  5. Step 5: Solve for x
    x = 1,354,937.35/1,929.08
  6. Step 6: Final answer
    x = 702.37

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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.