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Finding the Fourth Proportional to 2,119.63, 3,179.45 and 658.93

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Solution

The fourth proportional to 2,119.63, 3,179.45 and 658.93 is: 988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.63 : 3,179.45 = 658.93 : x
  2. Step 2: Convert to fraction form
    2,119.63/3,179.45 = 658.93/x
  3. Step 3: Cross multiply
    2,119.63x = 3,179.45 × 658.93
  4. Step 4: Simplify right side
    2,119.63x = 2,095,034.99
  5. Step 5: Solve for x
    x = 2,095,034.99/2,119.63
  6. Step 6: Final answer
    x = 988.40

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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.