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Finding the Fourth Proportional to 1,723.07, 2,584.14 and 748.94

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Solution

The fourth proportional to 1,723.07, 2,584.14 and 748.94 is: 1,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.07 : 2,584.14 = 748.94 : x
  2. Step 2: Convert to fraction form
    1,723.07/2,584.14 = 748.94/x
  3. Step 3: Cross multiply
    1,723.07x = 2,584.14 × 748.94
  4. Step 4: Simplify right side
    1,723.07x = 1,935,365.81
  5. Step 5: Solve for x
    x = 1,935,365.81/1,723.07
  6. Step 6: Final answer
    x = 1,123.21

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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.