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Finding the Fourth Proportional to 1,603.47, 2,212.14 and 982.83

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Solution

The fourth proportional to 1,603.47, 2,212.14 and 982.83 is: 1,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.47 : 2,212.14 = 982.83 : x
  2. Step 2: Convert to fraction form
    1,603.47/2,212.14 = 982.83/x
  3. Step 3: Cross multiply
    1,603.47x = 2,212.14 × 982.83
  4. Step 4: Simplify right side
    1,603.47x = 2,174,157.56
  5. Step 5: Solve for x
    x = 2,174,157.56/1,603.47
  6. Step 6: Final answer
    x = 1,355.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.