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Finding the Fourth Proportional to 2,367.84, 3,549.57 and 905.82

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Solution

The fourth proportional to 2,367.84, 3,549.57 and 905.82 is: 1,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.84 : 3,549.57 = 905.82 : x
  2. Step 2: Convert to fraction form
    2,367.84/3,549.57 = 905.82/x
  3. Step 3: Cross multiply
    2,367.84x = 3,549.57 × 905.82
  4. Step 4: Simplify right side
    2,367.84x = 3,215,271.50
  5. Step 5: Solve for x
    x = 3,215,271.50/2,367.84
  6. Step 6: Final answer
    x = 1,357.89

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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.