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Finding the Fourth Proportional to 2,564.61, 3,847.50 and 898.80

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Solution

The fourth proportional to 2,564.61, 3,847.50 and 898.80 is: 1,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.61 : 3,847.50 = 898.80 : x
  2. Step 2: Convert to fraction form
    2,564.61/3,847.50 = 898.80/x
  3. Step 3: Cross multiply
    2,564.61x = 3,847.50 × 898.80
  4. Step 4: Simplify right side
    2,564.61x = 3,458,133
  5. Step 5: Solve for x
    x = 3,458,133/2,564.61
  6. Step 6: Final answer
    x = 1,348.41

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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.