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Finding the Fourth Proportional to 2,045.79, 3,069.17 and 659.25

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Solution

The fourth proportional to 2,045.79, 3,069.17 and 659.25 is: 989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.79 : 3,069.17 = 659.25 : x
  2. Step 2: Convert to fraction form
    2,045.79/3,069.17 = 659.25/x
  3. Step 3: Cross multiply
    2,045.79x = 3,069.17 × 659.25
  4. Step 4: Simplify right side
    2,045.79x = 2,023,362.24
  5. Step 5: Solve for x
    x = 2,023,362.24/2,045.79
  6. Step 6: Final answer
    x = 989.04

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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.