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Finding the Fourth Proportional to 1,949.69, 2,690.47 and 1,065.49

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Solution

The fourth proportional to 1,949.69, 2,690.47 and 1,065.49 is: 1,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.69 : 2,690.47 = 1,065.49 : x
  2. Step 2: Convert to fraction form
    1,949.69/2,690.47 = 1,065.49/x
  3. Step 3: Cross multiply
    1,949.69x = 2,690.47 × 1,065.49
  4. Step 4: Simplify right side
    1,949.69x = 2,866,668.88
  5. Step 5: Solve for x
    x = 2,866,668.88/1,949.69
  6. Step 6: Final answer
    x = 1,470.32

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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.