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Finding the Fourth Proportional to 1,969.94, 2,955.08 and 509.08

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Solution

The fourth proportional to 1,969.94, 2,955.08 and 509.08 is: 763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.94 : 2,955.08 = 509.08 : x
  2. Step 2: Convert to fraction form
    1,969.94/2,955.08 = 509.08/x
  3. Step 3: Cross multiply
    1,969.94x = 2,955.08 × 509.08
  4. Step 4: Simplify right side
    1,969.94x = 1,504,372.13
  5. Step 5: Solve for x
    x = 1,504,372.13/1,969.94
  6. Step 6: Final answer
    x = 763.66

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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.