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Finding the Fourth Proportional to 1,461.98, 2,192.92 and 488.10

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Solution

The fourth proportional to 1,461.98, 2,192.92 and 488.10 is: 732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.98 : 2,192.92 = 488.10 : x
  2. Step 2: Convert to fraction form
    1,461.98/2,192.92 = 488.10/x
  3. Step 3: Cross multiply
    1,461.98x = 2,192.92 × 488.10
  4. Step 4: Simplify right side
    1,461.98x = 1,070,364.25
  5. Step 5: Solve for x
    x = 1,070,364.25/1,461.98
  6. Step 6: Final answer
    x = 732.13

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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.