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Finding the Fourth Proportional to 2,064.40, 2,849.42 and 1,278

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Solution

The fourth proportional to 2,064.40, 2,849.42 and 1,278 is: 1,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.40 : 2,849.42 = 1,278 : x
  2. Step 2: Convert to fraction form
    2,064.40/2,849.42 = 1,278/x
  3. Step 3: Cross multiply
    2,064.40x = 2,849.42 × 1,278
  4. Step 4: Simplify right side
    2,064.40x = 3,641,558.76
  5. Step 5: Solve for x
    x = 3,641,558.76/2,064.40
  6. Step 6: Final answer
    x = 1,763.98

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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.