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Finding the Fourth Proportional to 2,884.50, 4,320.63 and 2,783.46

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Solution

The fourth proportional to 2,884.50, 4,320.63 and 2,783.46 is: 4,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.50 : 4,320.63 = 2,783.46 : x
  2. Step 2: Convert to fraction form
    2,884.50/4,320.63 = 2,783.46/x
  3. Step 3: Cross multiply
    2,884.50x = 4,320.63 × 2,783.46
  4. Step 4: Simplify right side
    2,884.50x = 12,026,300.78
  5. Step 5: Solve for x
    x = 12,026,300.78/2,884.50
  6. Step 6: Final answer
    x = 4,169.28

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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.