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Finding the Fourth Proportional to 2,601.38, 3,903.16 and 1,563.50

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Solution

The fourth proportional to 2,601.38, 3,903.16 and 1,563.50 is: 2,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.38 : 3,903.16 = 1,563.50 : x
  2. Step 2: Convert to fraction form
    2,601.38/3,903.16 = 1,563.50/x
  3. Step 3: Cross multiply
    2,601.38x = 3,903.16 × 1,563.50
  4. Step 4: Simplify right side
    2,601.38x = 6,102,590.66
  5. Step 5: Solve for x
    x = 6,102,590.66/2,601.38
  6. Step 6: Final answer
    x = 2,345.91

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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.