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Finding the Fourth Proportional to 2,389.73, 3,584.81 and 928.99

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Solution

The fourth proportional to 2,389.73, 3,584.81 and 928.99 is: 1,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.73 : 3,584.81 = 928.99 : x
  2. Step 2: Convert to fraction form
    2,389.73/3,584.81 = 928.99/x
  3. Step 3: Cross multiply
    2,389.73x = 3,584.81 × 928.99
  4. Step 4: Simplify right side
    2,389.73x = 3,330,242.52
  5. Step 5: Solve for x
    x = 3,330,242.52/2,389.73
  6. Step 6: Final answer
    x = 1,393.57

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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.