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Finding the Fourth Proportional to 1,461.48, 2,192.22 and 584.38

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Solution

The fourth proportional to 1,461.48, 2,192.22 and 584.38 is: 876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.48 : 2,192.22 = 584.38 : x
  2. Step 2: Convert to fraction form
    1,461.48/2,192.22 = 584.38/x
  3. Step 3: Cross multiply
    1,461.48x = 2,192.22 × 584.38
  4. Step 4: Simplify right side
    1,461.48x = 1,281,083.43
  5. Step 5: Solve for x
    x = 1,281,083.43/1,461.48
  6. Step 6: Final answer
    x = 876.57

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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.