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Finding the Fourth Proportional to 2,406.70, 3,610.73 and 1,174.12

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Solution

The fourth proportional to 2,406.70, 3,610.73 and 1,174.12 is: 1,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.70 : 3,610.73 = 1,174.12 : x
  2. Step 2: Convert to fraction form
    2,406.70/3,610.73 = 1,174.12/x
  3. Step 3: Cross multiply
    2,406.70x = 3,610.73 × 1,174.12
  4. Step 4: Simplify right side
    2,406.70x = 4,239,430.31
  5. Step 5: Solve for x
    x = 4,239,430.31/2,406.70
  6. Step 6: Final answer
    x = 1,761.51

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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.