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Finding the Fourth Proportional to 1,461.31, 2,191.73 and 537.30

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Solution

The fourth proportional to 1,461.31, 2,191.73 and 537.30 is: 805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.31 : 2,191.73 = 537.30 : x
  2. Step 2: Convert to fraction form
    1,461.31/2,191.73 = 537.30/x
  3. Step 3: Cross multiply
    1,461.31x = 2,191.73 × 537.30
  4. Step 4: Simplify right side
    1,461.31x = 1,177,613.84
  5. Step 5: Solve for x
    x = 1,177,613.84/1,461.31
  6. Step 6: Final answer
    x = 805.86

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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.