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Finding the Fourth Proportional to 1,911.36, 2,866.32 and 815.16

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Solution

The fourth proportional to 1,911.36, 2,866.32 and 815.16 is: 1,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.36 : 2,866.32 = 815.16 : x
  2. Step 2: Convert to fraction form
    1,911.36/2,866.32 = 815.16/x
  3. Step 3: Cross multiply
    1,911.36x = 2,866.32 × 815.16
  4. Step 4: Simplify right side
    1,911.36x = 2,336,509.41
  5. Step 5: Solve for x
    x = 2,336,509.41/1,911.36
  6. Step 6: Final answer
    x = 1,222.43

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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.