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Finding the Fourth Proportional to 1,949.86, 2,690.78 and 1,065.67

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Solution

The fourth proportional to 1,949.86, 2,690.78 and 1,065.67 is: 1,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.86 : 2,690.78 = 1,065.67 : x
  2. Step 2: Convert to fraction form
    1,949.86/2,690.78 = 1,065.67/x
  3. Step 3: Cross multiply
    1,949.86x = 2,690.78 × 1,065.67
  4. Step 4: Simplify right side
    1,949.86x = 2,867,464.74
  5. Step 5: Solve for x
    x = 2,867,464.74/1,949.86
  6. Step 6: Final answer
    x = 1,470.60

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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.