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Finding the Fourth Proportional to 2,827.28, 4,242.28 and 1,095.50

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Solution

The fourth proportional to 2,827.28, 4,242.28 and 1,095.50 is: 1,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.28 : 4,242.28 = 1,095.50 : x
  2. Step 2: Convert to fraction form
    2,827.28/4,242.28 = 1,095.50/x
  3. Step 3: Cross multiply
    2,827.28x = 4,242.28 × 1,095.50
  4. Step 4: Simplify right side
    2,827.28x = 4,647,417.74
  5. Step 5: Solve for x
    x = 4,647,417.74/2,827.28
  6. Step 6: Final answer
    x = 1,643.78

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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.