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Finding the Fourth Proportional to 1,678.82, 2,314.22 and 1,180.67

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Solution

The fourth proportional to 1,678.82, 2,314.22 and 1,180.67 is: 1,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.82 : 2,314.22 = 1,180.67 : x
  2. Step 2: Convert to fraction form
    1,678.82/2,314.22 = 1,180.67/x
  3. Step 3: Cross multiply
    1,678.82x = 2,314.22 × 1,180.67
  4. Step 4: Simplify right side
    1,678.82x = 2,732,312.65
  5. Step 5: Solve for x
    x = 2,732,312.65/1,678.82
  6. Step 6: Final answer
    x = 1,627.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.