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Finding the Fourth Proportional to 2,949, 4,069.68 and 1,707.24

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Solution

The fourth proportional to 2,949, 4,069.68 and 1,707.24 is: 2,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949 : 4,069.68 = 1,707.24 : x
  2. Step 2: Convert to fraction form
    2,949/4,069.68 = 1,707.24/x
  3. Step 3: Cross multiply
    2,949x = 4,069.68 × 1,707.24
  4. Step 4: Simplify right side
    2,949x = 6,947,920.48
  5. Step 5: Solve for x
    x = 6,947,920.48/2,949
  6. Step 6: Final answer
    x = 2,356.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.