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Finding the Fourth Proportional to 3,104.64, 4,658.52 and 1,461

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Solution

The fourth proportional to 3,104.64, 4,658.52 and 1,461 is: 2,192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.64 : 4,658.52 = 1,461 : x
  2. Step 2: Convert to fraction form
    3,104.64/4,658.52 = 1,461/x
  3. Step 3: Cross multiply
    3,104.64x = 4,658.52 × 1,461
  4. Step 4: Simplify right side
    3,104.64x = 6,806,097.72
  5. Step 5: Solve for x
    x = 6,806,097.72/3,104.64
  6. Step 6: Final answer
    x = 2,192.23

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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.