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Finding the Fourth Proportional to 1,857.20, 2,783.60 and 761.28

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Solution

The fourth proportional to 1,857.20, 2,783.60 and 761.28 is: 1,141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.20 : 2,783.60 = 761.28 : x
  2. Step 2: Convert to fraction form
    1,857.20/2,783.60 = 761.28/x
  3. Step 3: Cross multiply
    1,857.20x = 2,783.60 × 761.28
  4. Step 4: Simplify right side
    1,857.20x = 2,119,099.01
  5. Step 5: Solve for x
    x = 2,119,099.01/1,857.20
  6. Step 6: Final answer
    x = 1,141.02

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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.