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Finding the Fourth Proportional to 2,597.40, 3,897.32 and 1,299.78

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Solution

The fourth proportional to 2,597.40, 3,897.32 and 1,299.78 is: 1,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.40 : 3,897.32 = 1,299.78 : x
  2. Step 2: Convert to fraction form
    2,597.40/3,897.32 = 1,299.78/x
  3. Step 3: Cross multiply
    2,597.40x = 3,897.32 × 1,299.78
  4. Step 4: Simplify right side
    2,597.40x = 5,065,652.09
  5. Step 5: Solve for x
    x = 5,065,652.09/2,597.40
  6. Step 6: Final answer
    x = 1,950.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.