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Finding the Fourth Proportional to 2,456.66, 3,684.63 and 896.30

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Solution

The fourth proportional to 2,456.66, 3,684.63 and 896.30 is: 1,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.66 : 3,684.63 = 896.30 : x
  2. Step 2: Convert to fraction form
    2,456.66/3,684.63 = 896.30/x
  3. Step 3: Cross multiply
    2,456.66x = 3,684.63 × 896.30
  4. Step 4: Simplify right side
    2,456.66x = 3,302,533.87
  5. Step 5: Solve for x
    x = 3,302,533.87/2,456.66
  6. Step 6: Final answer
    x = 1,344.32

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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.