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Finding the Fourth Proportional to 2,598.30, 3,897.08 and 1,544.73

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Solution

The fourth proportional to 2,598.30, 3,897.08 and 1,544.73 is: 2,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.30 : 3,897.08 = 1,544.73 : x
  2. Step 2: Convert to fraction form
    2,598.30/3,897.08 = 1,544.73/x
  3. Step 3: Cross multiply
    2,598.30x = 3,897.08 × 1,544.73
  4. Step 4: Simplify right side
    2,598.30x = 6,019,928.66
  5. Step 5: Solve for x
    x = 6,019,928.66/2,598.30
  6. Step 6: Final answer
    x = 2,316.87

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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.