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Finding the Fourth Proportional to 3,104.63, 4,658.08 and 1,461.42

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Solution

The fourth proportional to 3,104.63, 4,658.08 and 1,461.42 is: 2,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.63 : 4,658.08 = 1,461.42 : x
  2. Step 2: Convert to fraction form
    3,104.63/4,658.08 = 1,461.42/x
  3. Step 3: Cross multiply
    3,104.63x = 4,658.08 × 1,461.42
  4. Step 4: Simplify right side
    3,104.63x = 6,807,401.37
  5. Step 5: Solve for x
    x = 6,807,401.37/3,104.63
  6. Step 6: Final answer
    x = 2,192.66

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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.