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Finding the Fourth Proportional to 2,461.47, 3,690.97 and 817.44

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Solution

The fourth proportional to 2,461.47, 3,690.97 and 817.44 is: 1,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.47 : 3,690.97 = 817.44 : x
  2. Step 2: Convert to fraction form
    2,461.47/3,690.97 = 817.44/x
  3. Step 3: Cross multiply
    2,461.47x = 3,690.97 × 817.44
  4. Step 4: Simplify right side
    2,461.47x = 3,017,139.85
  5. Step 5: Solve for x
    x = 3,017,139.85/2,461.47
  6. Step 6: Final answer
    x = 1,225.75

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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.