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Finding the Fourth Proportional to 2,174.81, 3,262.56 and 713.63

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Solution

The fourth proportional to 2,174.81, 3,262.56 and 713.63 is: 1,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.81 : 3,262.56 = 713.63 : x
  2. Step 2: Convert to fraction form
    2,174.81/3,262.56 = 713.63/x
  3. Step 3: Cross multiply
    2,174.81x = 3,262.56 × 713.63
  4. Step 4: Simplify right side
    2,174.81x = 2,328,257.12
  5. Step 5: Solve for x
    x = 2,328,257.12/2,174.81
  6. Step 6: Final answer
    x = 1,070.56

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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.