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Finding the Fourth Proportional to 2,597.94, 3,897.62 and 1,500.30

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Solution

The fourth proportional to 2,597.94, 3,897.62 and 1,500.30 is: 2,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.94 : 3,897.62 = 1,500.30 : x
  2. Step 2: Convert to fraction form
    2,597.94/3,897.62 = 1,500.30/x
  3. Step 3: Cross multiply
    2,597.94x = 3,897.62 × 1,500.30
  4. Step 4: Simplify right side
    2,597.94x = 5,847,599.29
  5. Step 5: Solve for x
    x = 5,847,599.29/2,597.94
  6. Step 6: Final answer
    x = 2,250.86

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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.