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Finding the Fourth Proportional to 1,950.64, 2,693 and 1,289.42

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Solution

The fourth proportional to 1,950.64, 2,693 and 1,289.42 is: 1,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.64 : 2,693 = 1,289.42 : x
  2. Step 2: Convert to fraction form
    1,950.64/2,693 = 1,289.42/x
  3. Step 3: Cross multiply
    1,950.64x = 2,693 × 1,289.42
  4. Step 4: Simplify right side
    1,950.64x = 3,472,408.06
  5. Step 5: Solve for x
    x = 3,472,408.06/1,950.64
  6. Step 6: Final answer
    x = 1,780.14

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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.