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Finding the Fourth Proportional to 2,612.40, 3,914.40 and 1,378.20

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Solution

The fourth proportional to 2,612.40, 3,914.40 and 1,378.20 is: 2,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.40 : 3,914.40 = 1,378.20 : x
  2. Step 2: Convert to fraction form
    2,612.40/3,914.40 = 1,378.20/x
  3. Step 3: Cross multiply
    2,612.40x = 3,914.40 × 1,378.20
  4. Step 4: Simplify right side
    2,612.40x = 5,394,826.08
  5. Step 5: Solve for x
    x = 5,394,826.08/2,612.40
  6. Step 6: Final answer
    x = 2,065.08

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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.