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Finding the Fourth Proportional to 1,603.05, 2,412.99 and 1,462.92

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Solution

The fourth proportional to 1,603.05, 2,412.99 and 1,462.92 is: 2,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.05 : 2,412.99 = 1,462.92 : x
  2. Step 2: Convert to fraction form
    1,603.05/2,412.99 = 1,462.92/x
  3. Step 3: Cross multiply
    1,603.05x = 2,412.99 × 1,462.92
  4. Step 4: Simplify right side
    1,603.05x = 3,530,011.33
  5. Step 5: Solve for x
    x = 3,530,011.33/1,603.05
  6. Step 6: Final answer
    x = 2,202.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.