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Finding the Fourth Proportional to 1,969.84, 2,954.54 and 509.12

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Solution

The fourth proportional to 1,969.84, 2,954.54 and 509.12 is: 763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.84 : 2,954.54 = 509.12 : x
  2. Step 2: Convert to fraction form
    1,969.84/2,954.54 = 509.12/x
  3. Step 3: Cross multiply
    1,969.84x = 2,954.54 × 509.12
  4. Step 4: Simplify right side
    1,969.84x = 1,504,215.40
  5. Step 5: Solve for x
    x = 1,504,215.40/1,969.84
  6. Step 6: Final answer
    x = 763.62

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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.