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Finding the Fourth Proportional to 1,461.80, 2,188.44 and 766.82

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Solution

The fourth proportional to 1,461.80, 2,188.44 and 766.82 is: 1,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.80 : 2,188.44 = 766.82 : x
  2. Step 2: Convert to fraction form
    1,461.80/2,188.44 = 766.82/x
  3. Step 3: Cross multiply
    1,461.80x = 2,188.44 × 766.82
  4. Step 4: Simplify right side
    1,461.80x = 1,678,128.62
  5. Step 5: Solve for x
    x = 1,678,128.62/1,461.80
  6. Step 6: Final answer
    x = 1,147.99

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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.