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Finding the Fourth Proportional to 2,165.10, 3,247.65 and 1,340.70

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Solution

The fourth proportional to 2,165.10, 3,247.65 and 1,340.70 is: 2,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.10 : 3,247.65 = 1,340.70 : x
  2. Step 2: Convert to fraction form
    2,165.10/3,247.65 = 1,340.70/x
  3. Step 3: Cross multiply
    2,165.10x = 3,247.65 × 1,340.70
  4. Step 4: Simplify right side
    2,165.10x = 4,354,124.36
  5. Step 5: Solve for x
    x = 4,354,124.36/2,165.10
  6. Step 6: Final answer
    x = 2,011.05

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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.