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Finding the Fourth Proportional to 2,410.11, 3,614.84 and 766.82

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Solution

The fourth proportional to 2,410.11, 3,614.84 and 766.82 is: 1,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.11 : 3,614.84 = 766.82 : x
  2. Step 2: Convert to fraction form
    2,410.11/3,614.84 = 766.82/x
  3. Step 3: Cross multiply
    2,410.11x = 3,614.84 × 766.82
  4. Step 4: Simplify right side
    2,410.11x = 2,771,936.81
  5. Step 5: Solve for x
    x = 2,771,936.81/2,410.11
  6. Step 6: Final answer
    x = 1,150.13

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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.