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Finding the Fourth Proportional to 1,876.25, 2,814.38 and 508.25

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Solution

The fourth proportional to 1,876.25, 2,814.38 and 508.25 is: 762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.25 : 2,814.38 = 508.25 : x
  2. Step 2: Convert to fraction form
    1,876.25/2,814.38 = 508.25/x
  3. Step 3: Cross multiply
    1,876.25x = 2,814.38 × 508.25
  4. Step 4: Simplify right side
    1,876.25x = 1,430,408.64
  5. Step 5: Solve for x
    x = 1,430,408.64/1,876.25
  6. Step 6: Final answer
    x = 762.38

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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.