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Finding the Fourth Proportional to 1,965.39, 2,709.70 and 1,610

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Solution

The fourth proportional to 1,965.39, 2,709.70 and 1,610 is: 2,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.39 : 2,709.70 = 1,610 : x
  2. Step 2: Convert to fraction form
    1,965.39/2,709.70 = 1,610/x
  3. Step 3: Cross multiply
    1,965.39x = 2,709.70 × 1,610
  4. Step 4: Simplify right side
    1,965.39x = 4,362,617
  5. Step 5: Solve for x
    x = 4,362,617/1,965.39
  6. Step 6: Final answer
    x = 2,219.72

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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.