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Finding the Fourth Proportional to 2,651.06, 3,976.88 and 896.01

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Solution

The fourth proportional to 2,651.06, 3,976.88 and 896.01 is: 1,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.06 : 3,976.88 = 896.01 : x
  2. Step 2: Convert to fraction form
    2,651.06/3,976.88 = 896.01/x
  3. Step 3: Cross multiply
    2,651.06x = 3,976.88 × 896.01
  4. Step 4: Simplify right side
    2,651.06x = 3,563,319.77
  5. Step 5: Solve for x
    x = 3,563,319.77/2,651.06
  6. Step 6: Final answer
    x = 1,344.11

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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.