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Finding the Fourth Proportional to 1,969.31, 2,954.00 and 508.46

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Solution

The fourth proportional to 1,969.31, 2,954.00 and 508.46 is: 762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.31 : 2,954.00 = 508.46 : x
  2. Step 2: Convert to fraction form
    1,969.31/2,954.00 = 508.46/x
  3. Step 3: Cross multiply
    1,969.31x = 2,954.00 × 508.46
  4. Step 4: Simplify right side
    1,969.31x = 1,501,973.53
  5. Step 5: Solve for x
    x = 1,501,973.53/1,969.31
  6. Step 6: Final answer
    x = 762.69

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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.