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Finding the Fourth Proportional to 1,461.69, 2,192.75 and 537.15

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Solution

The fourth proportional to 1,461.69, 2,192.75 and 537.15 is: 805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.69 : 2,192.75 = 537.15 : x
  2. Step 2: Convert to fraction form
    1,461.69/2,192.75 = 537.15/x
  3. Step 3: Cross multiply
    1,461.69x = 2,192.75 × 537.15
  4. Step 4: Simplify right side
    1,461.69x = 1,177,832.98
  5. Step 5: Solve for x
    x = 1,177,832.98/1,461.69
  6. Step 6: Final answer
    x = 805.80

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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.