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Finding the Fourth Proportional to 1,461.92, 2,192.88 and 366.28

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Solution

The fourth proportional to 1,461.92, 2,192.88 and 366.28 is: 549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.92 : 2,192.88 = 366.28 : x
  2. Step 2: Convert to fraction form
    1,461.92/2,192.88 = 366.28/x
  3. Step 3: Cross multiply
    1,461.92x = 2,192.88 × 366.28
  4. Step 4: Simplify right side
    1,461.92x = 803,208.09
  5. Step 5: Solve for x
    x = 803,208.09/1,461.92
  6. Step 6: Final answer
    x = 549.42

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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.