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Finding the Fourth Proportional to 2,563.94, 3,838.04 and 1,870.44

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Solution

The fourth proportional to 2,563.94, 3,838.04 and 1,870.44 is: 2,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.94 : 3,838.04 = 1,870.44 : x
  2. Step 2: Convert to fraction form
    2,563.94/3,838.04 = 1,870.44/x
  3. Step 3: Cross multiply
    2,563.94x = 3,838.04 × 1,870.44
  4. Step 4: Simplify right side
    2,563.94x = 7,178,823.54
  5. Step 5: Solve for x
    x = 7,178,823.54/2,563.94
  6. Step 6: Final answer
    x = 2,799.92

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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.