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Finding the Fourth Proportional to 2,562.50, 3,825.03 and 2,199.62

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Solution

The fourth proportional to 2,562.50, 3,825.03 and 2,199.62 is: 3,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.50 : 3,825.03 = 2,199.62 : x
  2. Step 2: Convert to fraction form
    2,562.50/3,825.03 = 2,199.62/x
  3. Step 3: Cross multiply
    2,562.50x = 3,825.03 × 2,199.62
  4. Step 4: Simplify right side
    2,562.50x = 8,413,601.49
  5. Step 5: Solve for x
    x = 8,413,601.49/2,562.50
  6. Step 6: Final answer
    x = 3,283.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.