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Finding the Fourth Proportional to 2,783.60, 4,172.84 and 1,243.76

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Solution

The fourth proportional to 2,783.60, 4,172.84 and 1,243.76 is: 1,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.60 : 4,172.84 = 1,243.76 : x
  2. Step 2: Convert to fraction form
    2,783.60/4,172.84 = 1,243.76/x
  3. Step 3: Cross multiply
    2,783.60x = 4,172.84 × 1,243.76
  4. Step 4: Simplify right side
    2,783.60x = 5,190,011.48
  5. Step 5: Solve for x
    x = 5,190,011.48/2,783.60
  6. Step 6: Final answer
    x = 1,864.50

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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.