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Finding the Fourth Proportional to 1,969.52, 2,954.17 and 508.63

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Solution

The fourth proportional to 1,969.52, 2,954.17 and 508.63 is: 762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.52 : 2,954.17 = 508.63 : x
  2. Step 2: Convert to fraction form
    1,969.52/2,954.17 = 508.63/x
  3. Step 3: Cross multiply
    1,969.52x = 2,954.17 × 508.63
  4. Step 4: Simplify right side
    1,969.52x = 1,502,578.28
  5. Step 5: Solve for x
    x = 1,502,578.28/1,969.52
  6. Step 6: Final answer
    x = 762.92

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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.