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Finding the Fourth Proportional to 2,885.62, 3,984.08 and 1,707.07

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Solution

The fourth proportional to 2,885.62, 3,984.08 and 1,707.07 is: 2,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.62 : 3,984.08 = 1,707.07 : x
  2. Step 2: Convert to fraction form
    2,885.62/3,984.08 = 1,707.07/x
  3. Step 3: Cross multiply
    2,885.62x = 3,984.08 × 1,707.07
  4. Step 4: Simplify right side
    2,885.62x = 6,801,103.45
  5. Step 5: Solve for x
    x = 6,801,103.45/2,885.62
  6. Step 6: Final answer
    x = 2,356.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.