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Finding the Fourth Proportional to 2,340.10, 3,506.10 and 2,194.30

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Solution

The fourth proportional to 2,340.10, 3,506.10 and 2,194.30 is: 3,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.10 : 3,506.10 = 2,194.30 : x
  2. Step 2: Convert to fraction form
    2,340.10/3,506.10 = 2,194.30/x
  3. Step 3: Cross multiply
    2,340.10x = 3,506.10 × 2,194.30
  4. Step 4: Simplify right side
    2,340.10x = 7,693,435.23
  5. Step 5: Solve for x
    x = 7,693,435.23/2,340.10
  6. Step 6: Final answer
    x = 3,287.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.