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Finding the Fourth Proportional to 3,097.99, 4,644.13 and 1,341.89

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Solution

The fourth proportional to 3,097.99, 4,644.13 and 1,341.89 is: 2,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.99 : 4,644.13 = 1,341.89 : x
  2. Step 2: Convert to fraction form
    3,097.99/4,644.13 = 1,341.89/x
  3. Step 3: Cross multiply
    3,097.99x = 4,644.13 × 1,341.89
  4. Step 4: Simplify right side
    3,097.99x = 6,231,911.61
  5. Step 5: Solve for x
    x = 6,231,911.61/3,097.99
  6. Step 6: Final answer
    x = 2,011.60

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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.