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Finding the Fourth Proportional to 2,389.68, 3,584.48 and 746.22

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Solution

The fourth proportional to 2,389.68, 3,584.48 and 746.22 is: 1,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.68 : 3,584.48 = 746.22 : x
  2. Step 2: Convert to fraction form
    2,389.68/3,584.48 = 746.22/x
  3. Step 3: Cross multiply
    2,389.68x = 3,584.48 × 746.22
  4. Step 4: Simplify right side
    2,389.68x = 2,674,806.93
  5. Step 5: Solve for x
    x = 2,674,806.93/2,389.68
  6. Step 6: Final answer
    x = 1,119.32

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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.