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Finding the Fourth Proportional to 1,778.17, 2,667.74 and 682.63

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Solution

The fourth proportional to 1,778.17, 2,667.74 and 682.63 is: 1,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.17 : 2,667.74 = 682.63 : x
  2. Step 2: Convert to fraction form
    1,778.17/2,667.74 = 682.63/x
  3. Step 3: Cross multiply
    1,778.17x = 2,667.74 × 682.63
  4. Step 4: Simplify right side
    1,778.17x = 1,821,079.36
  5. Step 5: Solve for x
    x = 1,821,079.36/1,778.17
  6. Step 6: Final answer
    x = 1,024.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.