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Finding the Fourth Proportional to 2,321.40, 3,475.81 and 1,700.40

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Solution

The fourth proportional to 2,321.40, 3,475.81 and 1,700.40 is: 2,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.40 : 3,475.81 = 1,700.40 : x
  2. Step 2: Convert to fraction form
    2,321.40/3,475.81 = 1,700.40/x
  3. Step 3: Cross multiply
    2,321.40x = 3,475.81 × 1,700.40
  4. Step 4: Simplify right side
    2,321.40x = 5,910,267.32
  5. Step 5: Solve for x
    x = 5,910,267.32/2,321.40
  6. Step 6: Final answer
    x = 2,545.99

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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.