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Finding the Fourth Proportional to 2,564.96, 3,846.54 and 898.64

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Solution

The fourth proportional to 2,564.96, 3,846.54 and 898.64 is: 1,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.96 : 3,846.54 = 898.64 : x
  2. Step 2: Convert to fraction form
    2,564.96/3,846.54 = 898.64/x
  3. Step 3: Cross multiply
    2,564.96x = 3,846.54 × 898.64
  4. Step 4: Simplify right side
    2,564.96x = 3,456,654.71
  5. Step 5: Solve for x
    x = 3,456,654.71/2,564.96
  6. Step 6: Final answer
    x = 1,347.64

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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.