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Finding the Fourth Proportional to 2,313.30, 3,465.90 and 1,900.20

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Solution

The fourth proportional to 2,313.30, 3,465.90 and 1,900.20 is: 2,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.30 : 3,465.90 = 1,900.20 : x
  2. Step 2: Convert to fraction form
    2,313.30/3,465.90 = 1,900.20/x
  3. Step 3: Cross multiply
    2,313.30x = 3,465.90 × 1,900.20
  4. Step 4: Simplify right side
    2,313.30x = 6,585,903.18
  5. Step 5: Solve for x
    x = 6,585,903.18/2,313.30
  6. Step 6: Final answer
    x = 2,846.97

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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.