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Finding the Fourth Proportional to 1,461.83, 2,192.72 and 366.20

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Solution

The fourth proportional to 1,461.83, 2,192.72 and 366.20 is: 549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.83 : 2,192.72 = 366.20 : x
  2. Step 2: Convert to fraction form
    1,461.83/2,192.72 = 366.20/x
  3. Step 3: Cross multiply
    1,461.83x = 2,192.72 × 366.20
  4. Step 4: Simplify right side
    1,461.83x = 802,963.10
  5. Step 5: Solve for x
    x = 802,963.10/1,461.83
  6. Step 6: Final answer
    x = 549.29

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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.