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Finding the Fourth Proportional to 2,598.57, 3,899.21 and 1,138.05

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Solution

The fourth proportional to 2,598.57, 3,899.21 and 1,138.05 is: 1,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.57 : 3,899.21 = 1,138.05 : x
  2. Step 2: Convert to fraction form
    2,598.57/3,899.21 = 1,138.05/x
  3. Step 3: Cross multiply
    2,598.57x = 3,899.21 × 1,138.05
  4. Step 4: Simplify right side
    2,598.57x = 4,437,490.25
  5. Step 5: Solve for x
    x = 4,437,490.25/2,598.57
  6. Step 6: Final answer
    x = 1,707.67

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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.