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Finding the Fourth Proportional to 4,880.92, 7,323.30 and 2,143

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Solution

The fourth proportional to 4,880.92, 7,323.30 and 2,143 is: 3,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.92 : 7,323.30 = 2,143 : x
  2. Step 2: Convert to fraction form
    4,880.92/7,323.30 = 2,143/x
  3. Step 3: Cross multiply
    4,880.92x = 7,323.30 × 2,143
  4. Step 4: Simplify right side
    4,880.92x = 15,693,831.90
  5. Step 5: Solve for x
    x = 15,693,831.90/4,880.92
  6. Step 6: Final answer
    x = 3,215.34

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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.