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Finding the Fourth Proportional to 2,563.02, 3,841.47 and 1,246.50

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Solution

The fourth proportional to 2,563.02, 3,841.47 and 1,246.50 is: 1,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.02 : 3,841.47 = 1,246.50 : x
  2. Step 2: Convert to fraction form
    2,563.02/3,841.47 = 1,246.50/x
  3. Step 3: Cross multiply
    2,563.02x = 3,841.47 × 1,246.50
  4. Step 4: Simplify right side
    2,563.02x = 4,788,392.36
  5. Step 5: Solve for x
    x = 4,788,392.36/2,563.02
  6. Step 6: Final answer
    x = 1,868.26

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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.