Home / 1,461.13-2,192.23-537.29

Finding the Fourth Proportional to 1,461.13, 2,192.23 and 537.29

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Solution

The fourth proportional to 1,461.13, 2,192.23 and 537.29 is: 806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.13 : 2,192.23 = 537.29 : x
  2. Step 2: Convert to fraction form
    1,461.13/2,192.23 = 537.29/x
  3. Step 3: Cross multiply
    1,461.13x = 2,192.23 × 537.29
  4. Step 4: Simplify right side
    1,461.13x = 1,177,861.19
  5. Step 5: Solve for x
    x = 1,177,861.19/1,461.13
  6. Step 6: Final answer
    x = 806.13

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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.