Home / 1,461.65-2,192.27-474.46

Finding the Fourth Proportional to 1,461.65, 2,192.27 and 474.46

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Solution

The fourth proportional to 1,461.65, 2,192.27 and 474.46 is: 711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.65 : 2,192.27 = 474.46 : x
  2. Step 2: Convert to fraction form
    1,461.65/2,192.27 = 474.46/x
  3. Step 3: Cross multiply
    1,461.65x = 2,192.27 × 474.46
  4. Step 4: Simplify right side
    1,461.65x = 1,040,136.57
  5. Step 5: Solve for x
    x = 1,040,136.57/1,461.65
  6. Step 6: Final answer
    x = 711.62

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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.