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Finding the Fourth Proportional to 2,409.42, 3,614.13 and 1,314.70

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Solution

The fourth proportional to 2,409.42, 3,614.13 and 1,314.70 is: 1,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.42 : 3,614.13 = 1,314.70 : x
  2. Step 2: Convert to fraction form
    2,409.42/3,614.13 = 1,314.70/x
  3. Step 3: Cross multiply
    2,409.42x = 3,614.13 × 1,314.70
  4. Step 4: Simplify right side
    2,409.42x = 4,751,496.71
  5. Step 5: Solve for x
    x = 4,751,496.71/2,409.42
  6. Step 6: Final answer
    x = 1,972.05

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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.