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Finding the Fourth Proportional to 2,598.06, 3,897.81 and 1,500.42

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Solution

The fourth proportional to 2,598.06, 3,897.81 and 1,500.42 is: 2,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.06 : 3,897.81 = 1,500.42 : x
  2. Step 2: Convert to fraction form
    2,598.06/3,897.81 = 1,500.42/x
  3. Step 3: Cross multiply
    2,598.06x = 3,897.81 × 1,500.42
  4. Step 4: Simplify right side
    2,598.06x = 5,848,352.08
  5. Step 5: Solve for x
    x = 5,848,352.08/2,598.06
  6. Step 6: Final answer
    x = 2,251.05

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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.