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Finding the Fourth Proportional to 1,895.64, 2,843.76 and 800.16

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Solution

The fourth proportional to 1,895.64, 2,843.76 and 800.16 is: 1,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.64 : 2,843.76 = 800.16 : x
  2. Step 2: Convert to fraction form
    1,895.64/2,843.76 = 800.16/x
  3. Step 3: Cross multiply
    1,895.64x = 2,843.76 × 800.16
  4. Step 4: Simplify right side
    1,895.64x = 2,275,463.00
  5. Step 5: Solve for x
    x = 2,275,463.00/1,895.64
  6. Step 6: Final answer
    x = 1,200.37

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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.