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Finding the Fourth Proportional to 2,865.92, 3,955.36 and 1,624

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Solution

The fourth proportional to 2,865.92, 3,955.36 and 1,624 is: 2,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.92 : 3,955.36 = 1,624 : x
  2. Step 2: Convert to fraction form
    2,865.92/3,955.36 = 1,624/x
  3. Step 3: Cross multiply
    2,865.92x = 3,955.36 × 1,624
  4. Step 4: Simplify right side
    2,865.92x = 6,423,504.64
  5. Step 5: Solve for x
    x = 6,423,504.64/2,865.92
  6. Step 6: Final answer
    x = 2,241.34

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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.