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Finding the Fourth Proportional to 2,389.14, 3,584.16 and 745.62

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Solution

The fourth proportional to 2,389.14, 3,584.16 and 745.62 is: 1,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.14 : 3,584.16 = 745.62 : x
  2. Step 2: Convert to fraction form
    2,389.14/3,584.16 = 745.62/x
  3. Step 3: Cross multiply
    2,389.14x = 3,584.16 × 745.62
  4. Step 4: Simplify right side
    2,389.14x = 2,672,421.38
  5. Step 5: Solve for x
    x = 2,672,421.38/2,389.14
  6. Step 6: Final answer
    x = 1,118.57

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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.