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Finding the Fourth Proportional to 1,949.45, 2,690.28 and 1,065.29

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Solution

The fourth proportional to 1,949.45, 2,690.28 and 1,065.29 is: 1,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.45 : 2,690.28 = 1,065.29 : x
  2. Step 2: Convert to fraction form
    1,949.45/2,690.28 = 1,065.29/x
  3. Step 3: Cross multiply
    1,949.45x = 2,690.28 × 1,065.29
  4. Step 4: Simplify right side
    1,949.45x = 2,865,928.38
  5. Step 5: Solve for x
    x = 2,865,928.38/1,949.45
  6. Step 6: Final answer
    x = 1,470.12

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Why These Related Problems?

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